November 30, 2025Open Access

The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code

Key Points

Quantum Monte Carlo simulations reveal the flexibility of the ALF code for modeling diverse quantum systems.
The implementation includes lattice gauge theories and uses Maximum Entropy methods for efficient analysis.
Assessment within this framework demonstrates the ability to handle complex interactions in fermionic systems.
Broad applications may advance research in the simulation of quantum materials and fundamental particle interactions.

Abstract

The Algorithms for Lattice Fermions package provides a general code for the finite-temperature and projective auxiliary-field quantum Monte Carlo algorithm. The code is engineered to be able to simulate any model that can be written in terms of sums of single-body operators, of squares of single-body operators and single-body operators coupled to a bosonic field with given dynamics. The package includes five pre-defined model classes: SU (N) Kondo, SU (N) Hubbard, SU (N) t-V and SU (N) models with long range Coulomb repulsion on honeycomb, square and N-leg lattices, as well as Z₂ Z 2 unconstrained lattice gauge theories coupled to fermionic and Z₂ Z 2 matter. An implementation of the stochastic Maximum Entropy method is also provided. One can download the code from our Git instance at https: //git. physik. uni-wuerzburg. de/ALF/ALF/-/tree/ALF-2. 4 and sign in to file issues.

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