Green-Function-Based Monte Carlo Method for Classical Fields Coupled to Fermions

Details Green-Function-Based Monte Carlo Method for Classical Fields Coupled to Fermions Green-Function-Based Monte Carlo Method for Classical Fields Coupled to Fermions

2009-04-20

arxiv.org/abs/0904.3100v1

Phys.Rev.Lett.102:150604,2009

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.102.150604

Microscopic models of classical degrees of freedom coupled to non-interacting 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.

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