Hybrid molecular-dynamics algorithm for the numerical simulation of many-electron systems

Abstract

We present an algorithm for the numerical simulation of many electron systems, which is based upon the hybrid stochastic approach presently being used to study lattice gauge theory. A method for preconditioning the fermion matrices is described which significantly reduces the computing time needed in the simulation. Results are presented for the three-dimensional Hubbard model on lattices ranging in size from $4^3$ to ${10}^3$.