• Rapid Communication

Discrete Hubbard-Stratonovich transformation for fermion lattice models

J. E. Hirsch
Phys. Rev. B 28, 4059(R) – Published 1 October 1983; Erratum Phys. Rev. B 29, 4159 (1984)
PDFExport Citation

Abstract

We discuss a new functional-integral formulation of interacting fermion systems on a lattice such as the Anderson or Hubbard models: the fermion-fermion interaction is eliminated by introducing auxiliary Ising variables. The resulting model for a d-dimensional quantum system is a (d+1)-dimensional Ising model with complicated interactions. The new transformation is particularly useful for performing numerical studies of these models using Monte Carlo techniques. We study its convergence properties and compare it with the usual Gaussian formulation for the case of the Hubbard model.

  • Received 16 June 1983

DOI:https://doi.org/10.1103/PhysRevB.28.4059

©1983 American Physical Society

Erratum

Authors & Affiliations

J. E. Hirsch

  • Department of Physics, University of California, San Diego, La Jolla, California 92093

References (Subscription Required)

Click to Expand
Issue

Vol. 28, Iss. 7 — 1 October 1983

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×