Shiwei Zhang
Constrained Path Quantum Monte Carlo for Fermions

  1. Lecture 1
    1. Ground-state constrained path Monte Carlo (CPMC) algorithm. Assuming that both auxiliary-field Monte Carlo and diffusion Monte Carlo will have been covered, we will focus on how the ground-state CPMC algorithm combines the concepts of Hubbard-Stratonovich transformation and Slater determinants with branching random walks and importance sampling. We will demonstrate the origin of the fermionsign problem in this context and then discuss the approximate solution, the constrained path approximation. The Hubbard model will be the primary example in illustrating the algorithm.
  2. Lecture 2
    1. Applications of ground-state CPMC; finite-temperature CPMC algorithm. We will describe applications to study lattice models in the context of high-Tc superconductivity with the ground-state CPMC algorithm. We will also discuss extensions of the algorithm to finite temperatures, making connections with the restricted path-integral Monte Carlo method.
NATO ASI, Cornell Theory Center,

Last modified: Thu Jun 11 17:20:05 EDT 1998