Determinantal Quantum Monte Carlo solver for Cluster Perturbation Theory
Abstract
Cluster Perturbation Theory (CPT) is a technique for computing the spectral function of fermionic models with local interactions. By combining the solution of the model on a finite cluster with perturbation theory on intra-cluster hoppings, CPT provides access to single-particle properties with arbitrary momentum resolution while incurring low computational cost. Here, we introduce Determinantal Quantum Monte Carlo (DQMC) as a solver for CPT. Compared to the standard solver, exact diagonalization (ED), the DQMC solver reduces finite size effects through utilizing larger clusters, allows study of temperature dependence, and enables large-scale simulations of a greater set of models. We discuss the implementation of the DQMC solver for CPT and benchmark the CPT+DQMC method for the attractive and repulsive Hubbard models, showcasing its advantages over standard DQMC and CPT+ED simulations.
Cite
@article{arxiv.2107.11284,
title = {Determinantal Quantum Monte Carlo solver for Cluster Perturbation Theory},
author = {Edwin W. Huang and Yao Wang},
journal= {arXiv preprint arXiv:2107.11284},
year = {2021}
}