ALF

User Workshop 2026

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Sat, 17 Jan 2026 00:00:00 +0000

We’re pleased to confirm the forth edition of our biennial ALF User Workshop!

Save the date:

October 5th to October 9th

Where:

Hybrid: we plan ALF Workshop 2026 as a hybrid event, taking place in Würzburg – Germany and online.

Its program will include hands-on tutorials and workshop projects, as well as deep-dive talks by participants and invited speakers — there will be something for beginners and experienced researchers alike.

Package reference publication updated

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Thu, 27 Nov 2025 00:00:00 +0000

After some time in the works, ALF’s reference documentation, published in SciPost Physics Codebases has been updated:

ALF Collaboration, The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code. SciPost Phys. Codebases 1-v2.4 (2025). https://doi.org/10.21468/SciPostPhysCodeb.1-v2.4

Notice the current release of the package is ALF 2.6 and we recommend the latest, development version of the code for the latest features and bug fixes.

ALF 2.6 released

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Wed, 05 Nov 2025 00:00:00 +0000

The latest stable version of the package is now ALF 2.6.

Major improvements have been made to the package’s maximum entropy method (MaxEnt), including:

an implementation of the classic, Bayesian-based MaxEnt, besides the standard stochastic MaxEnt
facilities for the easy calculation of quantities such as susceptibilities and quantum Fisher information

An important internal change is the Hubbard Stratonovich fields now being implemented as complex variables instead of real — notice this is a compatibility breaking change.

ALF Mailing List

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Sat, 27 Sep 2025 00:00:00 +0000

ALF now offers a mailing list, hosted by the German Research Network (DFN), and you can subscribe here:
https://www.listserv.dfn.de/sympa/info/jmu-alf-qmc.

It’s a new channel, open to anyone with an email account, through which you can receive announcements, news, inquiries and much more related to the ALF/pyALF packages.

Helmholtz' HiRSE support

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Thu, 29 Aug 2024 00:00:00 +0000

The Helmholtz Platform for Research Software Engineering (HiRSE) is promoting ALF as part of their HiRSE Code Promotion for projects with substantial German participation.

Thank you for your support!

Their ALF slide is also available as a PDF.

User Workshop 2024

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Sat, 17 Aug 2024 00:00:00 +0000

Last month we hosted in Würzburg, Germany the 3rd iteration of the ALF Workshop. Being offered for the first time in a hybrid format, the conference was quite productive, and also challenging, fun and tasty! Check a few pictures in the event’s website (see if you can catch the throwable cubic blue microphone in the air):
https://alfworkshop2024.sciencesconf.org/resource/gallery/id/6

The conference also provided a few interesting additions to the “Quantum Matter Talks” series in our YouTube channel:
https://www.youtube.com/playlist?list=PLGG-0KzRqw_giA44UW-igqKWndam7olrW
as well as updates to the “ALF Basics” playlist:
https://www.youtube.com/playlist?list=PLGG-0KzRqw_jO7CcLdOToQvmF3npdPp-i

User Workshop 2024

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 09 Apr 2024 00:00:00 +0000

ALF User Workshop is back for its third editon: ALF Workshop 2024!

Registrations are already open: https://alfworkshop2024.sciencesconf.org/.

The event will take place in a hybrid format with both in-person and online sessions to be held simultaneously from 15/July/2024 to 19/July/2024 and is aimed at both beginners and advanced users. A detailed program is not yet available, but it will include:

Getting to Know ALF: A tutorial (basic and advanced) on using ALF.
ALF in Production: Workgroup projects and advanced features.
New developments in lattice fermion simulations: Talks by workshop participants

Whether you’d like to learn the basics of ALF, or could use some help with implementing your own Hamiltonian or measurement, this workshop puts the whole team at your disposal.

ALF 2.5 released

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 05 Jun 2023 00:00:00 +0000

The latest stable version of the package is now ALF 2.5.

The main improvements with respect to 2.4 are:

Better handling of errors.
Improved, automatic compilation of HDF5.
Safer restart function.

With respect to the latter point: as of ALF 2.5 a file named RUNNING is generated in each run directory and is deleted upon successful completion of the run. Restart is not allowed if the file RUNNING is not present.

ALF 2.4 released

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 29 Nov 2022 00:00:00 +0000

The latest stable version of the package is now ALF 2.4.

The main improvements with respect to 2.3 are:

The availability of the numerical libraries Lapack and BLAS is now automatically tested by the installation configuration script configure.sh (issue 219).
Symmetries between flavors can now be leveraged to a speed-up of a factor \(N_\text{fl}\)^*.

^{* In the ALF code, the flavor index refers to degrees of freedom that are block diagonal. For example, for the Hubbard model with the Hubbard-Stratonovich transformation that couples to the \(z\)-component of the magnetization, the flavor index corresponds to the spin index. In many cases, there is a symmetry between different flavors, and one can now implement this with ALF 2.4. The speedup of a factor \(N_\text{fl}\) makes it definitely worth it making use of whenever possible.}

Presentation on FAIR data and ALF

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Fri, 11 Nov 2022 00:00:00 +0000

Check our new video: FAIR data & ALF.

We make the case for data management in science, present the concept of FAIR data, and report on the current status of the integration of ALF into the open materials repository NOMAD.

New ALF Reference Paper

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 30 Aug 2022 00:00:00 +0000

After five years and considerable development effort, ALF’s reference paper got its due update: As the very first paper in SciPost Physics Codebases!

The ALF (Algorithms for Lattice Fermions) project release 2.0. Documentation for the auxiliary-field quantum Monte Carlo code, SciPost Phys. Codebases 1 (2022)
https://scipost.org/SciPostPhysCodeb.1.

Please cite this paper when acknowledging ALF.

Updates to our latest release, ALF 2.3, should follow soon.

BiBTeX

ALF YouTube Channel

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 02 Aug 2022 00:00:00 +0000

We now have a new home for our videos, where we can better organize them and where they are more easily findable: ALF’s YouTube channel.

Whether you’re more interested in QMC Research talks, or in taking a deep dive into ALF’s code or feel like revisiting our 2020 or 2022 User Workshops, check it out – and don’t forget to subscribe.

ALF 2.3 released

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Fri, 24 Jun 2022 00:00:00 +0000

The latest stable version of the package is now ALF 2.3.

The main improvements with respect to 2.2 are:

Automatically write all parameters to the HDF5 file by parsing the Hamiltonian files and also check that the parameters are identical when resuming a previous run (issue 196).
The necessary numerical libraries are now tested by the installation script (issue 219).
Improved code modularity (issue 223).
Additional error message: warning for checkerboard decomposition on odd-sized lattices (bug 207).
Solved other bugs: 209, 217 and 221.

Notice that, due to this changes, this release is not strictly backwards compatible and the following must be watched:

ALF 2022 concluded

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 21 Feb 2022 00:00:00 +0000

Last week we concluded the 2022 ALF User Workshop, where the participants could try the latest features of ALF and pyALF.

Links to the event presentations slides and recordings can be found here.

This week of intense work was capped by a very profitable discussion session (picture below). Thank you all!

User Workshop 2022

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 21 Dec 2021 00:00:00 +0000

The program, also in PDF format, is now available:

As well as our poster (PDF):

User Workshop 2022

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 14 Dec 2021 00:00:00 +0000

We are glad to announce the second ALF User Workshop: ALF Workshop 2022.

Registrations are already open: https://alfworkshop2022.sciencesconf.org/.

The event will take place online from 14/Feb/2022 to 18/Feb/2022 and is aimed at both beginners and advanced users. A detailed program is not yet available, but it will include:

hands-on sessions with ALF
presentations: QMC theoretical basis, ALF particulars, and recent results
contributed talks by workshop participants

Whether you’d like to learn the basics of ALF, or could use some help with implementing your own Hamiltonian or measurement, this workshop puts the whole team at your disposal.

ALF 2.2 released

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 07 Dec 2021 00:00:00 +0000

The latest stable version of the package is now ALF 2.2.

The main improvements with respect to 2.1 are:

HDF5 data format is supported (see documentation Sec. 5.7.2, 6.2, 6.3)
bond multiplicity is automatically taken care of by the code

To use HDF5 you’ll need to recompile the package.

Notice that, due to this changes, this release is not strictly backwards compatible:

the argument DEVEL/DEVELOPMENT is no longer a MACHINE name, but an optional switch in script configure.sh
and Hopping_Matrix_Type%Multiplicity is now a private member

Check the CHANGELOG and documentation for further details.

New ALF poster

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Thu, 02 Sep 2021 00:00:00 +0000

Check out our latest poster, created for the FOR1807 International Conference.

You can download it in both PNG and PDF formats, as well as the summary slide for the 2-minute poster slam session.

ALF 2.1 released

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Wed, 23 Jun 2021 00:00:00 +0000

The latest stable version of the package is now ALF 2.1.

The main change from 2.0 is under the hood:

Hamiltonians are now written as submodules of Hamiltonian_main_mod, using the class ham_base, which contains all the stuff common to Hamiltonians - a more economical, object oriented approach that’s a time saver and better structures the code.

Notice that, due to this change, this release is not backwards compatible: check its CHANGELOG and documentation for details and the modifications necessary to adapt existing Hamiltonians to ALF 2.1.

ALF Discord server launched

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Thu, 17 Jun 2021 00:00:00 +0000

This is a new space where developers, users and anyone else interested in ALF can interact via chat, call and video call. Feel free to ask questions about the code, discuss physics or simply chat.

You can join or recommend it to anyone using the link: https://discord.gg/VppWWEPMHa.

pyALF gets own funding

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 19 Apr 2021 00:00:00 +0000

Great news:

The Unitary Fund awarded us a microgrant for improving ALF’s python interface, pyALF.

ALF 2020 a success

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Sun, 11 Oct 2020 00:00:00 +0000

We just concluded our first ALF User Workshop. After this intense and rewarding week, some additional 50+ researchers can now do QMC simulations using ALF and pyALF in their own machines with many having already started producing their own results.

Being forced into virtual rooms by the pandemic, we faced challenges such as wide time zone differences, but could count with more than twice as many participants as initially planned and, as a by-product of the online conference, we produced a number of video lectures, which will soon be publicly online.

Workshop Program

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 21 Sep 2020 00:00:00 +0000

The updated program for the ALF User Workshop (05/Oct - 09/Oct) is out!

Please check the Conference’s Website for more information and registering.

The program is also available in the PDF format.

Postponed to October

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Thu, 21 May 2020 00:00:00 +0000

Due to organizational issues we are postponing the ALF User Workshop to:
5th - 9th of October 2020

Please check the Conference’s Website for registering and further information.

Sponsors

To be held online

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 21 Apr 2020 00:00:00 +0000

Due to the travel disruption caused by the COVID-19 epidemic, the ALF User Workshop will be held online!

Please check the Conference’s Website for registering and further information.

Sponsors

Deadlines Extended

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Tue, 03 Mar 2020 00:00:00 +0000

Registrations for the ALF User Workshop have been extended!

Registration: until 29/May/2020.
Travel assistance request: until 18/May/2020.

Please check the Conference’s Website for registering and further information.

Sponsors

Workshop Poster

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Fri, 24 Jan 2020 00:00:00 +0000

Visit the Conference’s Website for registering (deadline: 29/May/2020).

The poster is also available in the PDF format.

Workshop Program

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Fri, 20 Dec 2019 00:00:00 +0000

The tentative program for the ALF User Workshop (26/Jun - 02/Jul) is out!

Please check the Conference’s Website for registering (deadline: 29/May/2020).

The program is also available in the PDF format.

Registrations Open

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Fri, 15 Nov 2019 00:00:00 +0000

Registrations for the first ALF User Workshop are now open!

Please check the Conference’s Website.

The event will take place from 26/Jun/2020 to 02/Jul/2020 at the University of Würzburg and is aimed at both beginners and advanced users. A detailed program is not yet available, but it will include hands-on sessions with ALF and a few presentations on the QMC theoretical basis and recent results obtained with ALF.

Sponsors

User Workshop

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Sat, 19 Oct 2019 00:00:00 +0000

We are glad to announce that we have started the preparations for our first ALF User Workshop!

The event will take place next summer at the University of Würzburg and is aimed at both beginners and advanced users. A detailed program is not yet available, but it will include hands-on sessions with ALF and a few presentations on the QMC theoretical basis and recent results obtained with ALF.

Please reserve the period 26/Jun/2020 - 02/Jul/2020 and stay tuned.

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

Usually I would just delete this, but since it was already here, I will keep it for now.

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

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96. Reingruber A, Pongsangangan K, Assaad F, Ulybyshev M. Quantum Monte Carlo Study of Hydrodynamics in Systems with Particle-Hole Symmetry. Physical Review Letters 134 (2025). 10.1103/physrevlett.134.206303.

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87. Hofmann JS, Goth F, Zhu W, He Y-C, Huffman E. Quantum Monte Carlo simulation of the 3D Ising transition on the fuzzy sphere. SciPost Physics Core 7 (2024). 10.21468/scipostphyscore.7.2.028.

86. Hou D, Liu Y, Sato T, Assaad FF, Guo W, Wang Z. Effective model for superconductivity in magic-angle graphene. Physical Review B 109 (2024). 10.1103/physrevb.109.195122.

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82. Liu ZH, Vojta M, Assaad FF, Janssen L. Critical properties of metallic and deconfined quantum phase transitions in Dirac systems. Physical Review B 110 (2024). 10.1103/physrevb.110.125123.

81. Prichard ML, Spar BM, Morera I, Demler E, Yan ZZ, Bakr WS. Directly imaging spin polarons in a kinetically frustrated Hubbard system. Nature 629, 323–328 (2024). 10.1038/s41586-024-07356-6.

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79. Sato T, Haddad S, Fulga IC, Assaad FF, Brink J van den. Altermagnetic Anomalous Hall Effect Emerging from Electronic Correlations. Physical Review Letters 133 (2024). 10.1103/physrevlett.133.086503.

78. Sato T, Ramshaw BJ, Modic KA, Assaad FF. Scale-invariant magnetic anisotropy in <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML"><mml:mrow><mml:mi>α</mml:mi><mml:mtext>−</mml:mtext><mml:msub><mml:mi>RuCl</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math> : A quantum monte carlo study. Physical Review B 110 (2024). 10.1103/physrevb.110.l201114.

77. Tang H-K, Yudhistira I, Chattopadhyay U, Ulybyshev M, Sengupta P, Assaad FF, Adam S. Spectral functions of lattice fermions on the honeycomb lattice with Hubbard and long-range Coulomb interactions. Physical Review B 110 (2024). 10.1103/physrevb.110.155120.

76. Vaezi M-S, Esfahani DN. Hubbard model on the honeycomb lattice with an indefinite long-range interaction. Physical Review B 110 (2024). 10.1103/physrevb.110.l241103.

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68. Hou D, Liu Y, Sato T, Guo W, Assaad FF, Wang Z. Bandwidth-controlled quantum phase transition between an easy-plane quantum spin hall state and an <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML"><mml:mi>s</mml:mi></mml:math> -wave superconductor. Physical Review B 107 (2023). 10.1103/physrevb.107.155107.

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65. Liu ZH, Frank B, Janssen L, Vojta M, Assaad FF. Magnetic quantum phase transition in a metallic Kondo heterostructure. Physical Review B 107 (2023). 10.1103/physrevb.107.165104.

64. Liu ZH, Jiang W, Chen B-B, Rong J, Cheng M, Sun K, Meng ZY, Assaad FF. Fermion Disorder Operator at Gross-Neveu and Deconfined Quantum Criticalities. Physical Review Letters 130 (2023). 10.1103/physrevlett.130.266501.

63. Sato T, Wang Z, Liu Y, Hou D, Hohenadler M, Guo W, Assaad FF. Simulation of fermionic and bosonic critical points with emergent SO(5) symmetry. Physical Review B 108 (2023). 10.1103/physrevb.108.l121111.

62. Schwab J, Parisen Toldin F, Assaad FF. Phase diagram of the <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML"><mml:mi>SU</mml:mi><mml:mtext>(</mml:mtext><mml:mi>n</mml:mi><mml:mtext>)</mml:mtext></mml:math> antiferromagnet of spin <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML"><mml:mi>s</mml:mi></mml:math> on a square lattice. Physical Review B 108 (2023). 10.1103/physrevb.108.115151.

61. Takai K, Yamaji Y, Assaad FF, Imada M. Quantum criticality of bandwidth-controlled Mott transition. Physical Review Research 5 (2023). 10.1103/physrevresearch.5.033186.

60. Ulybyshev M, Winterowd C, Assaad F, Zafeiropoulos S. Instanton gas approach to the Hubbard model. Physical Review B 107 (2023). 10.1103/physrevb.107.045143.

59. Wang Z, Assaad F, Ulybyshev M. Validity of SLAC fermions for the <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> -dimensional helical luttinger liquid. Physical Review B 108 (2023). 10.1103/physrevb.108.045105.

58. Assaad F, Bercx M, Goth F, Götz A, Hofmann J, Huffman E, Liu Z, Parisen Toldin F, Portela J, Schwab J. Codebase release 2.0 for ALF (Algorithms for Lattice Fermions). SciPost Physics Codebases (2022). 10.21468/scipostphyscodeb.1-r2.0.

57. Danu B, Vojta M, Grover T, Assaad FF. Spin chain on a metallic surface: Dissipation-induced order versus Kondo entanglement. Physical Review B 106 (2022). 10.1103/physrevb.106.l161103.

56. Goth F. Higher Order Auxiliary Field Quantum Monte Carlo Methods. Journal of Physics: Conference Series 2207, 012029 (2022). 10.1088/1742-6596/2207/1/012029.

55. Herzog-Arbeitman J, Peri V, Schindler F, Huber SD, Bernevig BA. Superfluid Weight Bounds from Symmetry and Quantum Geometry in Flat Bands. Physical Review Letters 128 (2022). 10.1103/physrevlett.128.087002.

54. Hofmann JS, Khalaf E, Vishwanath A, Berg E, Lee JY. Fermionic Monte Carlo Study of a Realistic Model of Twisted Bilayer Graphene. Physical Review X 12 (2022). 10.1103/physrevx.12.011061.

53. Hohenadler M, Liu Y, Sato T, Wang Z, Guo W, Assaad FF. Thermodynamic and dynamical signatures of a quantum spin Hall insulator to superconductor transition. Physical Review B 106 (2022). 10.1103/physrevb.106.024509.

52. Osterkorn A, Kehrein S. Photoinduced prethermal order parameter dynamics in the two-dimensional large- <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML"><mml:mi>n</mml:mi></mml:math> hubbard-heisenberg model. Physical Review B 106 (2022). 10.1103/physrevb.106.214318.

51. Raczkowski M, Danu B, Assaad FF. Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study. Physical Review B 106 (2022). 10.1103/physrevb.106.l161115.

50. Sato T, Assaad FF. Negative sign free formulations of generalized Kitaev models with higher symmetries. Physical Review B 106 (2022). 10.1103/physrevb.106.155110.

49. Sushchyev A, Wessel S. Thermodynamics of the metal-insulator transition in the extended Hubbard model from determinantal quantum Monte Carlo. Physical Review B 106 (2022). 10.1103/physrevb.106.155121.

48. Tarat S, Xiao B, Mondaini R, Scalettar RT. Deconvolving the components of the sign problem. Physical Review B 105 (2022). 10.1103/physrevb.105.045107.

47. Tian L, Meng J, Ma T. Intermediate phase induced by dilution in a correlated Dirac Fermi system. Physical Review B 106 (2022). 10.1103/physrevb.106.205144.

46. Ulybyshev M, Assaad F. Mitigating spikes in fermion Monte Carlo methods by reshuffling measurements. Physical Review E 106 (2022). 10.1103/physreve.106.025318.

45. Danu B, Liu Z, Assaad FF, Raczkowski M. Zooming in on heavy fermions in Kondo lattice models. Physical Review B 104 (2021). 10.1103/physrevb.104.155128.

44. Grossman O, Hofmann JS, Holder T, Berg E. Specific Heat of a Quantum Critical Metal. Physical Review Letters 127 (2021). 10.1103/physrevlett.127.017601.

43. Liu Y, Wang Z, Sato T, Guo W, Assaad FF. Gross-Neveu Heisenberg criticality: Dynamical generation of quantum spin Hall masses. Physical Review B 104 (2021). 10.1103/physrevb.104.035107.

42. Mishchenko PA, Kato Y, Motome Y. Quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field. Physical Review D 104 (2021). 10.1103/physrevd.104.074517.

41. Peri V, Song Z-D, Bernevig BA, Huber SD. Fragile Topology and Flat-Band Superconductivity in the Strong-Coupling Regime. Physical Review Letters 126 (2021). 10.1103/physrevlett.126.027002.

40. Raczkowski M, Assaad FF, Imada M. Local moments versus itinerant antiferromagnetism: Magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model. Physical Review B 103 (2021). 10.1103/physrevb.103.125137.

39. Sato T, Assaad FF. Quantum Monte Carlo simulation of generalized Kitaev models. Physical Review B 104 (2021). 10.1103/physrevb.104.l081106.

38. Sato T, Hohenadler M, Grover T, McGreevy J, Assaad FF. Topological terms on topological defects: A quantum Monte Carlo study. Physical Review B 104 (2021). 10.1103/physrevb.104.l161105.

37. Wang Z, Liu Y, Sato T, Hohenadler M, Wang C, Guo W, Assaad FF. Doping-Induced Quantum Spin Hall Insulator to Superconductor Transition. Physical Review Letters 126 (2021). 10.1103/physrevlett.126.205701.

36. Wang Z, Zaletel MP, Mong RS K, Assaad FF. Phases of the ( <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> ) dimensional SO(5) nonlinear sigma model with topological term. Physical Review Letters 126 (2021). 10.1103/physrevlett.126.045701.

35. Bauer C. Fast and stable determinant quantum Monte Carlo. SciPost Physics Core 2 (2020). 10.21468/scipostphyscore.2.2.011.

34. Danu B, Vojta M, Assaad FF, Grover T. Kondo breakdown in a spin- <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> chain of adatoms on a dirac semimetal. Physical Review Letters 125 (2020). 10.1103/physrevlett.125.206602.

33. Gazit S, Assaad FF, Sachdev S. Fermi Surface Reconstruction without Symmetry Breaking. Physical Review X 10 (2020). 10.1103/physrevx.10.041057.

32. Hofmann JS, Assaad FF, Queiroz R, Khalaf E. Search for correlation-induced adiabatic paths between distinct topological insulators. Physical Review Research 2 (2020). 10.1103/physrevresearch.2.023390.

31. Hofmann JS, Berg E, Chowdhury D. Superconductivity, pseudogap, and phase separation in topological flat bands. Physical Review B 102 (2020). 10.1103/physrevb.102.201112.

30. Huffman E, Chandrasekharan S. Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality. Physical Review D 101 (2020). 10.1103/physrevd.101.074501.

29. Kappl P, Wallerberger M, Kaufmann J, Pickem M, Held K. Statistical error estimates in dynamical mean-field theory and extensions thereof. Physical Review B 102 (2020). 10.1103/physrevb.102.085124.

28. Raczkowski M, Assaad FF. Phase diagram and dynamics of the <mml:math xmlns:mml="http://www.w3.org/1998/math/MathML"><mml:mrow><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> symmetric kondo lattice model. Physical Review Research 2 (2020). 10.1103/physrevresearch.2.013276.

27. Raczkowski M, Peters R, Phùng TT, Takemori N, Assaad FF, Honecker A, Vahedi J. Hubbard model on the honeycomb lattice: From static and dynamical mean-field theories to lattice quantum Monte Carlo simulations. Physical Review B 101 (2020). 10.1103/physrevb.101.125103.

26. Ulybyshev M, Winterowd C, Zafeiropoulos S. Lefschetz thimbles decomposition for the Hubbard model on the hexagonal lattice. Physical Review D 101 (2020). 10.1103/physrevd.101.014508.

25. Zhang H et al. Coexistence and Interaction of Spinons and Magnons in an Antiferromagnet with Alternating Antiferromagnetic and Ferromagnetic Quantum Spin Chains. Physical Review Letters 125 (2020). 10.1103/physrevlett.125.037204.

24. Buividovich P, Smith D, Ulybyshev M, Smekal L von. Numerical evidence of conformal phase transition in graphene with long-range interactions. Physical Review B 99 (2019). 10.1103/physrevb.99.205434.

23. Chen C, Xu XY, Meng ZY, Hohenadler M. Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons. Physical Review Letters 122 (2019). 10.1103/physrevlett.122.077601.

22. Danu B, Assaad FF, Mila F. Exploring the Kondo Effect of an Extended Impurity with Chains of Co Adatoms in a Magnetic Field. Physical Review Letters 123 (2019). 10.1103/physrevlett.123.176601.

21. Fukuma M, Matsumoto N, Umeda N. Applying the tempered Lefschetz thimble method to the Hubbard model away from half filling. Physical Review D 100 (2019). 10.1103/physrevd.100.114510.

20. Hofmann JS, Assaad FF, Grover T. Fractionalized Fermi liquid in a frustrated Kondo lattice model. Physical Review B 100 (2019). 10.1103/physrevb.100.035118.

19. Hohenadler M, Assaad FF. Orthogonal metal in the Hubbard model with liberated slave spins. Physical Review B 100 (2019). 10.1103/physrevb.100.125133.

18. Kim FH, Assaad FF, Penc K, Mila F. Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory. Physical Review B 100 (2019). 10.1103/physrevb.100.085103.

17. Leaw JN, Tang H-K, Sengupta P, Assaad FF, Herbut IF, Adam S. Electronic ground state in bilayer graphene with realistic Coulomb interactions. Physical Review B 100 (2019). 10.1103/physrevb.100.125116.

16. Liu Y, Wang Z, Sato T, Hohenadler M, Wang C, Guo W, Assaad FF. Superconductivity from the condensation of topological defects in a quantum spin-Hall insulator. Nature Communications 10 (2019). 10.1038/s41467-019-10372-0.

15. Parisen Toldin F, Sato T, Assaad FF. Mutual information in heavy-fermion systems. Physical Review B 99 (2019). 10.1103/physrevb.99.155158.

14. Raczkowski M, Assaad FF. Emergent Coherent Lattice Behavior in Kondo Nanosystems. Physical Review Letters 122 (2019). 10.1103/physrevlett.122.097203.

13. Toldin FP, Assaad FF. Entanglement studies of interacting fermionic models. Journal of Physics: Conference Series 1163, 012056 (2019). 10.1088/1742-6596/1163/1/012056.

12. Wynen J-L, Berkowitz E, Körber C, Lähde TA, Luu T. Avoiding ergodicity problems in lattice discretizations of the Hubbard model. Physical Review B 100 (2019). 10.1103/physrevb.100.075141.

11. Beyl S, Goth F, Assaad FF. Revisiting the hybrid quantum Monte Carlo method for Hubbard and electron-phonon models. Physical Review B 97 (2018). 10.1103/physrevb.97.085144.

10. Gazit S, Assaad FF, Sachdev S, Vishwanath A, Wang C. Confinement transition of ℤ 2 gauge theories coupled to massless fermions: Emergent quantum chromodynamics and SO (5) symmetry. Proceedings of the National Academy of Sciences 115 (2018). 10.1073/pnas.1806338115.

9. Hohenadler M, Assaad FF. Fractionalized Metal in a Falicov-Kimball Model. Physical Review Letters 121 (2018). 10.1103/physrevlett.121.086601.

8. Ippoliti M, Mong RSK, Assaad FF, Zaletel MP. Half-filled Landau levels: A continuum and sign-free regularization for three-dimensional quantum critical points. Physical Review B 98 (2018). 10.1103/physrevb.98.235108.

7. Parisen Toldin F, Assaad FF. Entanglement Hamiltonian of Interacting Fermionic Models. Physical Review Letters 121 (2018). 10.1103/physrevlett.121.200602.

6. Sato T, Assaad FF, Grover T. Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models. Physical Review Letters 120 (2018). 10.1103/physrevlett.120.107201.

5. Tang H-K, Leaw JN, Rodrigues JNB, Herbut IF, Sengupta P, Assaad FF, Adam S. The role of electron-electron interactions in two-dimensional Dirac fermions. Science 361, 570–574 (2018). 10.1126/science.aao2934.

4. Huffman E, Chandrasekharan S. Fermion bag approach to Hamiltonian lattice field theories in continuous time. Physical Review D 96 (2017). 10.1103/physrevd.96.114502.

3. Sato T, Hohenadler M, Assaad FF. Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry. Physical Review Letters 119 (2017). 10.1103/physrevlett.119.197203.

2. Shinaoka H, Assaad F, Blümer N, Werner P. Quantum Monte Carlo impurity solvers for multi-orbital problems and frequency-dependent interactions. The European Physical Journal Special Topics 226, 2499–2523 (2017). 10.1140/epjst/e2017-70050-x.

1. Wang Z, Assaad FF, Parisen Toldin F. Finite-size effects in canonical and grand-canonical quantum Monte Carlo simulations for fermions. Physical Review E 96 (2017). 10.1103/physreve.96.042131.

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

ALF’s video proposal for the Unitary Fund

Here’s the link for the video.

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

ALF’s video proposal for the Unitary Fund

Here’s the link for the video.

ALF Code earlier versions

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

ALF Code earlier versions

Development/current: For details check the CHANGELOG.
ALF 2.6: Additional maximum entropy method.
ALF 2.5: Improved error handling and HDF5 integration; safer restart function.
ALF 2.4: Speed-up by better exploiting system’s symmetries; availability of mathematical libraries tested at installation; new reference paper.
ALF 2.3: Improved installation, modularity and error handling.
ALF 2.2: HDF5 support introduced.
ALF 2.1: Incremental improvement. Single executable ALF.out introduced.
ALF 2.0: Second main release. Documentation: arxiv.org/abs/2012.11914.

ALF Collaboration

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

F. F. Assaad ¹

A. Götz ¹

Z. Liu ¹

J. Schwab ¹

M. Bercx ¹

J. S. Hofmann ²

F. Parisen Toldin ¹

F. Goth ¹

E. Huffman ³

J. S. E. Portela ¹

[1] Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg, Germany
[2] Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
[3] Wake Forest University, Olin Physical Laboratory, Winston-Salem, NC, USA 27109

Citing ALF

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

If you use ALF, please don’t forget to mention the package and the reference paper in any publication:

The auxillary-field QMC simulations were carried out using the ALF package [1] available at https://github.com/ALF-QMC/ALF.

The package’s reference paper is:

[1] ALF Collaboration, The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code, SciPost Phys. Codebases 1-v2.4 (2025), URL: https://scipost.org/SciPostPhysCodeb.1-v2.4.

The corresponding BiBTeX entry:

@Article{10.21468/SciPostPhysCodeb.1-v2.4,
	title={{The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code}},
	author={F. F. Assaad and M. Bercx and F. Goth and A. Götz and J. S. Hofmann and E. Huffman and Z. Liu and F. Parisen Toldin and J. S. E. Portela and J. Schwab},
	journal={SciPost Phys. Codebases},
	pages={1-v2.4},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCodeb.1-v2.4},
	url={https://scipost.org/10.21468/SciPostPhysCodeb.1-v2.4},
}

The previous reference paper, for the (legacy) ALF 1.0 version, is:

Contact

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

The ALF Collaboration can be reached at the address:
tp1-alf@uni-wuerzburg.de.
Users and developers can connect via chat and (video) call in ALF’s Discord server. Join here: https://discord.gg/VppWWEPMHa.
You’re welcome to subscribe to our mailing list:
https://www.listserv.dfn.de/sympa/info/jmu-alf-qmc.
The package’s current core maintainers are:
Fakher F. Assaad
Florian Goth
Anika Götz
Johannes S. Hofmann
Emilie Huffman
Jefferson Stafusa E. Portela
Jonas Schwab
Noneletronic mail should be addressed to:

Prof. Dr. Fakher F. Assaad
Institut für theoretische Physik und Astrophysik
Theoretische Physik 1
Am Hubland
97074 Würzburg, Germany

Contributing to ALF

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

Thank you for your interest in contributing!

Please abide by our Code of Conduct — in short: be kind, inclusive and constructive — and take a look at our CONTRIBUTING.md guidelines.

Taking part

Casually: We gladly accept patches for bugfixes, portability enhancements or new features!
Regularly: If you know the physics and coding needed to become a core developer of ALF, let us know.

Users and developers can connect via chat and call in our Discord server. Join here: https://discord.gg/VppWWEPMHa.

Documentation

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

The most up-to-date documentation for ALF can be found at https://alf.physik.uni-wuerzburg.de/doc.pdf, while the current reference paper for ALF is SciPost Phys. Codebases 1-v2.4 (2025).
Our Tutorial offers an introduction to the package aimed at both the beginner and the specialist users. Talks, recorded at the ALF User Workshops 2024, 2022 and 2020, are available, e.g.: Part I - Introduction (2020) and Part II - Advanced 2022 (2020).
A quick overview of the package and the research it produced is presented in one of our latest posters.

Donate

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

To support the development of ALF and efforts to grow ALF’s user community, you can also contribute with cash!

Donations are received by the non-profit ALF Association (ALF e.V.), and are tax deductible. They fund our online presence and contribute to expanding ALF’s documentation, organizing user workshops, improving the code usability and more.

You can make a bank transfer to our account:

Or, to use credit and debit cards or schedule regular transfers, among other options, you can use the Liberapay platform:

GDPR Compliance

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

Datenschutzerklärung

1. Datenschutz auf einen Blick

Allgemeine Hinweise

Die folgenden Hinweise geben einen einfachen Überblick darüber, was mit Ihren personenbezogenen Daten passiert, wenn Sie diese Website besuchen. Personenbezogene Daten sind alle Daten, mit denen Sie persönlich identifiziert werden können. Ausführliche Informationen zum Thema Datenschutz entnehmen Sie unserer unter diesem Text aufgeführten Datenschutzerklärung.

Datenerfassung auf dieser Website

Wer ist verantwortlich für die Datenerfassung auf dieser Website?

Die Datenverarbeitung auf dieser Website erfolgt durch den Websitebetreiber. Dessen Kontaktdaten können Sie dem Abschnitt „Hinweis zur Verantwortlichen Stelle“ in dieser Datenschutzerklärung entnehmen.

GDPR Compliance

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

Datenschutzerklärung

1. Datenschutz auf einen Blick

Allgemeine Hinweise

Datenerfassung auf dieser Website

Wer ist verantwortlich für die Datenerfassung auf dieser Website?

Licenses

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

ALF Code

The various works that make up the ALF project are placed under licenses that put a strong emphasis on the attribution of the original authors and the sharing of the contained knowledge. To that end we have placed the ALF source code under the GPL version 3 license and took the liberty as per GPLv3 section 7 to include additional terms that deal with the attribution of the original authors (see License GPL and License - additional). The Documentation of the ALF project by the ALF contributors is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License (see License CC BY-SA. Note that we link against parts of lapack, which is licensed under a BSD license (see license.lapack).

Publications

tp1-alf@uni-wuerzburg.de (ALF Collaboration) — Mon, 01 Jan 0001 00:00:00 +0000

A number of projects have benefited from ALF. The following is a selection of published works that reference ALF’s main documentation or an earlier version, as recorded by Crossref.

108. Bippus F, Kauch A, Roósz G, Mayrhofer C, Assaad F, Held K. Two-site entanglement in the two-dimensional Hubbard model. Physical Review B 113 (2026). 10.1103/81gy-zz9l.

107. Danu B, Assaad FF. Phases and phase transitions of an s = 3 2 chain on metallic and semimetallic surfaces. Physical Review B 113 (2026). 10.1103/cvnx-yzwb.