Green-Function-Based Monte Carlo Method for Classical Fields Coupled to Fermions

The truncated polynomial expansion Monte Carlo method for fermion systems coupled to classical fields: a model independent implementation

A software library is presented for the polynomial expansion method (PEM) of the density of states (DOS) introduced in Ref [1, 2]. The library provides all necessary functions for the use of the PEM and its truncated version (TPEM) in a model independent way. The PEM/TPEM replaces the exact diagonalization of the one electron sector in models for fermions coupled to classical fields. The comput...

Green Function Monte Carlo with Stochastic Reconfiguration

A new method for the stabilization of the sign problem in the Green Function Monte Carlo technique is proposed. The method is devised for real lattice Hamiltonians and is based on an iterative ”stochastic reconfiguration” scheme which introduces some bias but allows a stable simulation with constant sign. The systematic reduction of this bias is in principle possible. The method is applied to t...

The Coupled Electron-Ion Monte Carlo Method

Constrained Path Monte Carlo for Fermions

Novel Quantum Monte Carlo Algorithms for Fermions

Recent research shows that the partition function for a class of models involving fermions can be written as a statistical mechanics of clusters with positive definite weights. This new representation of the model allows one to construct novel algorithms. We illustrate this through models consisting of fermions with and without spin. A Hubbard type model with both attractive and repulsive inter...