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 …
problems in classical statistical physics. Although the first attempts to apply these ideas to …
Quantum critical points and the sign problem
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 …
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 …
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 …
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
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 …
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 …
efficiency in auxiliary-field quantum Monte Carlo (AFQMC) calculations of electronic …
[HTML][HTML] Finite temperature auxiliary field quantum Monte Carlo in the canonical ensemble
Finite temperature auxiliary field-based quantum Monte Carlo methods, including
determinant quantum Monte Carlo and Auxiliary Field Quantum Monte Carlo (AFQMC), have …
determinant quantum Monte Carlo and Auxiliary Field Quantum Monte Carlo (AFQMC), have …
Ab Initio Finite Temperature Auxiliary Field Quantum Monte Carlo
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 …
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 …
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
Many experimentally accessible, finite-sized interacting quantum systems are most
appropriately described by the canonical ensemble of statistical mechanics. Conventional …
appropriately described by the canonical ensemble of statistical mechanics. Conventional …