The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code

@article{Bercx2017TheA,
  title={The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code},
  author={Martin Bercx and Florian Goth and Johannes S. Hofmann and Fakher F. Assaad},
  journal={arXiv: Strongly Correlated Electrons},
  year={2017}
}
  • M. Bercx, F. Goth, F. Assaad
  • Published 1 April 2017
  • Physics, Computer Science
  • arXiv: Strongly Correlated Electrons
The Algorithms for Lattice Fermions package provides a general code for the finite temperature 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 an Ising field with given dynamics. We provide predefined types that allow the user to specify the model, the Bravais lattice as well as equal time and time… 
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Higher Order Auxiliary Field Quantum Monte Carlo Methods
  • F. Goth
  • Physics
    Journal of Physics: Conference Series
  • 2022
The auxiliary field quantum Monte Carlo (AFQMC) method has been a workhorse in the field of strongly correlated electrons for a long time and has found its most recent implementation in the ALF
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Revisiting the hybrid quantum Monte Carlo method for Hubbard and electron-phonon models
A unique feature of the hybrid quantum Monte Carlo (HQMC) method is the potential to simulate negative sign free lattice fermion models with subcubic scaling in system size. Here we will revisit the
QUANTUM MONTE CARLO METHOD FOR FERMIONS, FREE OF DISCRETIZATION ERRORS
In this Letter we present a novel quantum Monte Carlo method for fermions, based on an exact decomposition of the Boltzmann operator exp(-beta (H) over cap). It can be seen as a synthesis of several
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Half-filled Landau levels: A continuum and sign-free regularization for three-dimensional quantum critical points
Author(s): Ippoliti, M; Mong, RSK; Assaad, FF; Zaletel, MP | Abstract: © 2018 American Physical Society. We explore a method for regulating 2+1D quantum critical points in which the ultraviolet
Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models.
TLDR
It is shown that one can formulate a negative-sign-free auxiliary field quantum Monte Carlo algorithm that allows Kondo coupling of fermions with the spins and a partial Kondo screened state where spins are selectively screened so as to alleviate frustration.
Mott physics in the half-filled Hubbard model on a family of vortex-full square lattices
We study the half-filled Hubbard model on a one-parameter family of vortex-full square lattices ranging from the isotropic case to weakly coupled Hubbard dimers. The ground-state phase diagram
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We present a quantum Monte Carlo (QMC) study, based on the Langevin equation, of a Hamiltonian describing electrons coupled to phonon degrees of freedom. The bosonic part of the action helps control
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