scholarly journals Benchmark study of an auxiliary-field quantum Monte Carlo technique for the Hubbard model with shifted-discrete Hubbard-Stratonovich transformations

2019 ◽  
Vol 99 (14) ◽  
Author(s):  
Kazuhiro Seki ◽  
Sandro Sorella
Keyword(s):  
Monte Carlo ◽  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Monte Carlo Technique ◽  
Auxiliary Field ◽  
Benchmark Study

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

2017 ◽  
Vol 3 (2) ◽  
Author(s):  
Martin Bercx ◽  
Florian Goth ◽  
Johannes Stephan Hofmann ◽  
Fakher Assaad
Keyword(s):  
Monte Carlo ◽  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Kondo Lattice ◽  
Monte Carlo Algorithm ◽  
Auxiliary Field ◽  
Honeycomb Lattice ◽  
Monte Carlo Code ◽  
Single Body ◽  
Lattice Fermions

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 displaced observables. The code supports an MPI implementation. Examples such as the Hubbard model on the honeycomb lattice and the Hubbard model on the square lattice coupled to a transverse Ising field are provided and discussed in the documentation. We furthermore discuss how to use the package to implement the Kondo lattice model and the SU(N)SU(N)-Hubbard-Heisenberg model. One can download the code from our Git instance at and sign in to file issues.

scholarly journals Phase separation in the two-dimensional Hubbard model: A fixed-node quantum Monte Carlo study

1998 ◽  
Vol 58 (22) ◽  
pp. R14685-R14688 ◽  
Author(s):  
A. C. Cosentini ◽  
M. Capone ◽  
L. Guidoni ◽  
G. B. Bachelet
Keyword(s):  
Monte Carlo ◽  
Phase Separation ◽  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Fixed Node
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