On the sign problem in the Hirsch-Fye algorithm for impurity problems

Journal Article

We show that there is no fermion sign problem in the Hirsch and Fye algorithm for the single-impurity Anderson model. Beyond the particle-hole symmetric case for which a simple proof exists, this has been known only empirically. Here we prove the nonexistence of a sign problem for the general case by showing that each spin trace for a given Ising configuration is separately positive. We further use this insight to analyse under what conditions orbitally degenerate Anderson models or the two-impurity Anderson model develop a sign. © 2005 IOP Publishing Ltd.

Full Text

Duke Authors

Cited Authors

  • Yoo, J; Chandrasekharan, S; Kaul, RK; Ullmo, D; Baranger, HU

Published Date

  • December 2, 2005

Published In

Volume / Issue

  • 38 / 48

Start / End Page

  • 10307 - 10310

Electronic International Standard Serial Number (EISSN)

  • 1361-6447

International Standard Serial Number (ISSN)

  • 0305-4470

Digital Object Identifier (DOI)

  • 10.1088/0305-4470/38/48/004

Citation Source

  • Scopus