A Monte Carlo Method for Fermion Systems Coupled with Classical Degrees of Freedom
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概要
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A nexv 1VIonte Carlo method is proposed for fernaion systezns interacting witl'r classical degreesof freedonaa. To obtaiza a weiglat for eacla IN/Ionte Carlo san'uple with a fixed configtrration of classicalvariables, the naoraaent expar?sion of' tlae density of states by Chebyslaev polynomials is appliedinstead of the direct diagonalization of tlae feruaaion Hauniltonian. This redtrces a CpL1 time to scaleas O(N33.. log,V.3j..) conapared to (1)(.V.7j..) f'or the diagonalization in the conventional tecltniqtre;N.jj.. is the dizaaension of the Hatniltonian. Anotl?er advantage of this unethod is tlaat parallelconaptrtation with laigh efficiency is possible. These significantly save total CpL1 throes of lVIonteCarlo calculations becatrse tlae calctrlation of a lVIonte Carlo xveight is the bottleneck part. Tlneraaethod is applied to the dotrble-exchange rnodel as an exaunple. The beu?chunark restrlts showthat it is possible to raaake a systenaatic investigation ttsing a systena-size scaling even in threedinuensions witlaira a realistic CpL1 tinaescale.
- 社団法人日本物理学会の論文
- 1999-12-15
著者
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FURUKAWA Nobuo
Department of Physics and Mathematics, Aoyama Gakuin University
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Motome Yukitoshi
Department Of Applied Physics University Of Tokyo
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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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