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