Order N Monte Carlo Algorithm for Fermion Systems Coupled with Fluctuating Adiabatical Fields(General)
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概要
- 論文の詳細を見る
An improved algorithm is proposed for Monte Carlo methods to study fermion systems interacting with adiabatical fields. To obtain a weight for each Monte Carlo sample with a fixed configuration of adiabatical fields, a series expansion using Chebyshev polynomials is applied. By introducing truncations of matrix operations in a systematic and controlled way, it is shown that the cpu time is reduced from O(N^3) to O(N) where N is the system size. Benchmark results show that the implementation of the algorithm makes it possible to perform systematic investigations of critical phenomena using system-size scalings even for an electronic model in three dimensions, within a realistic cpu timescale.
- 社団法人日本物理学会の論文
- 2004-06-15
著者
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MOTOME Yukitoshi
RIKEN (The Institute of Physical and Chemical Research)
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FURUKAWA Nobuo
Department of Physics and Mathematics, Aoyama Gakuin University
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Yukitoshi Motome
Riken (the Institute Of Physical And Chemical Research)
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Motome Yukitoshi
Institute Of Materials Science University Of Tsukuba
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Furukawa Nobuo
Department Of Physics And Mathematics Aoyama Gakuin University:multiferroics Project (mf) Erato Japa
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Furukawa Nobuo
Department Of Physics And Mathematics Aoyama Gakuin University
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Furukawa Nobuo
Department Of Physics Aoyama Gakuin University
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Furukawa N
Department Of Physics And Mathematics Aoyama Gakuin University:multiferroics Project (mf) Erato Japa
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Furukawa Nobuo
Department Of Physics Aoyama Gakkuin University
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