On the Sign Problem in the Hirsch-Fye Algorithm for Impurity Problems

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dc.creatorYoo, Jaebeom
dc.creatorChandrasekharan, Shailesh
dc.creatorKaul, Ribhu K.
dc.creatorUllmo, Denis
dc.creatorBaranger, Harold U.
dc.date2004-12-31
dc.date2005-11-16
dc.date.accessioned2026-07-07T06:37:26Z
dc.date.available2026-07-07T06:37:26Z
dc.descriptionWe 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 analyze under what conditions orbitally degenerate Anderson models or the two-impurity Anderson model develop a sign.
dc.description2 pages, no figure; published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0412771
dc.identifierhttp://arxiv.org/abs/cond-mat/0412771
dc.identifierJ. Phys. A: Math. Gen. 38 (2005) 10307-10310
dc.identifierdoi:10.1088/0305-4470/38/48/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100389
dc.subjectStrongly Correlated Electrons
dc.titleOn the Sign Problem in the Hirsch-Fye Algorithm for Impurity Problems
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