A quantum Monte Carlo approach to many-body physics

W von der Linden - Physics Reports, 1992 - Elsevier
Monte Carlo simulations have become an established and useful method for treating
problems in classical statistical physics. Although the first attempts to apply these ideas to …

Quantum critical points and the sign problem

R Mondaini, S Tarat, RT Scalettar - Science, 2022 - science.org
The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

Monte Carlo method for magnetic impurities in metals

JE Hirsch, RM Fye - Physical review letters, 1986 - APS
Abstract We discuss a Monte Carlo algorithm to study properties of dilute magnetic alloys;
the method can treat a small number of magnetic impurities interacting with the conduction …

Extended dynamical mean-field theory and method

P Sun, G Kotliar - Physical Review B, 2002 - APS
We develop the extended dynamical mean-field theory (E-DMFT) with a view towards
realistic applications.(1) We introduce an intuitive derivation of the E-DMFT formalism. By …

Geometry dependence of the sign problem in quantum Monte Carlo simulations

VI Iglovikov, E Khatami, RT Scalettar - Physical Review B, 2015 - APS
The sign problem is the fundamental limitation to quantum Monte Carlo simulations of the
statistical mechanics of interacting fermions. Determinant quantum Monte Carlo (DQMC) is …

Symmetry in auxiliary-field quantum Monte Carlo calculations

H Shi, S Zhang - Physical Review B—Condensed Matter and Materials …, 2013 - APS
We show how symmetry properties can be used to greatly increase the accuracy and
efficiency in auxiliary-field quantum Monte Carlo (AFQMC) calculations of electronic …

[HTML][HTML] Finite temperature auxiliary field quantum Monte Carlo in the canonical ensemble

T Shen, Y Liu, Y Yu, BM Rubenstein - The Journal of Chemical Physics, 2020 - pubs.aip.org
Finite temperature auxiliary field-based quantum Monte Carlo methods, including
determinant quantum Monte Carlo and Auxiliary Field Quantum Monte Carlo (AFQMC), have …

Ab Initio Finite Temperature Auxiliary Field Quantum Monte Carlo

Y Liu, M Cho, B Rubenstein - Journal of Chemical Theory and …, 2018 - ACS Publications
We present an ab initio auxiliary field quantum Monte Carlo method for studying the
electronic structure of molecules, solids, and model Hamiltonians at finite temperature. The …

Many-body approximation scheme beyond GW

P Sun, G Kotliar - Physical review letters, 2004 - APS
We explore the combination of the extended dynamical mean field theory (EDMFT) with the
GW approximation (GWA); the former sums the local contributions to the self-energies to …

Stable recursive auxiliary field quantum Monte Carlo algorithm in the canonical ensemble: Applications to thermometry and the Hubbard model

T Shen, H Barghathi, J Yu, A Del Maestro… - Physical Review E, 2023 - APS
Many experimentally accessible, finite-sized interacting quantum systems are most
appropriately described by the canonical ensemble of statistical mechanics. Conventional …