Green-function-based monte carlo method for classical fields coupled to fermions

Microscopic models of classical degrees of freedom coupled to noninteracting fermions occur in many different contexts. Prominent examples from solid state physics are descriptions of colossal magnetoresistance manganites and diluted magnetic semiconductors, or auxiliary field methods for correlated...

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Bibliographic Details
Published in:Physical review letters 2009-04, Vol.102 (15), p.150604-150604, Article 150604
Main Author: Weisse, Alexander
Format: Article
Language:English
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Summary:Microscopic models of classical degrees of freedom coupled to noninteracting fermions occur in many different contexts. Prominent examples from solid state physics are descriptions of colossal magnetoresistance manganites and diluted magnetic semiconductors, or auxiliary field methods for correlated electron systems. Monte Carlo simulations are vital for an understanding of such systems, but notorious for requiring the solution of the fermion problem with each change in the classical field configuration. We present an efficient, truncation-free O(N) method on the basis of Chebyshev expanded local Green functions, which allows us to simulate systems of unprecedented size N.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.102.150604