Jaebeom Yoo et al 2005 J. Phys. A: Math. Gen. 38 10307 doi:10.1088/0305-4470/38/48/004
Jaebeom Yoo, Shailesh Chandrasekharan, Ribhu K Kaul, Denis Ullmo1 and Harold U Baranger
Show affiliationsWe 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.
82C22 Interacting particle systems (See also 60K35)
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
Issue 48 (2 December 2005)
Received 27 June 2005, in final form 16 September 2005
Published 16 November 2005
Jaebeom Yoo et al 2005 J. Phys. A: Math. Gen. 38 10307
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