Quantum Monte-Carlo method without negative-sign problem for two-dimensional electron systems under strong magnetic fields

Sei Suzuki; Tatsuya Nakajima

doi:10.1143/JPSJ.73.1103

Quantum Monte-Carlo method without negative-sign problem for two-dimensional electron systems under strong magnetic fields

Sei Suzuki, Tatsuya Nakajima

SCI - Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The quantum Monte-Carlo method is applied to two-dimensional electron systems under strong magnetic fields. The negative-sign problem induced by this method can be avoided for certain filling factors by making a sign-problem-free Hamiltonian approximating the Coulomb-interaction Hamiltonian well. Our techniques for obtaining the sign-problem-free Hamiltonian are described in detail. Calculated results for the sign-problem-free Hamiltonian are also reported for Landau level filling ν = 1/3 and are compared with those for the Coulomb-interaction Hamiltonian.

Original language	English
Pages (from-to)	1103-1106
Number of pages	4
Journal	journal of the physical society of japan
Volume	73
Issue number	5
DOIs	https://doi.org/10.1143/JPSJ.73.1103
Publication status	Published - 2004 May

Keywords

Fractional quantum Hall states
Negative-sign problem
Quantum Monte-Carlo

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.73.1103

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abstract = "The quantum Monte-Carlo method is applied to two-dimensional electron systems under strong magnetic fields. The negative-sign problem induced by this method can be avoided for certain filling factors by making a sign-problem-free Hamiltonian approximating the Coulomb-interaction Hamiltonian well. Our techniques for obtaining the sign-problem-free Hamiltonian are described in detail. Calculated results for the sign-problem-free Hamiltonian are also reported for Landau level filling ν = 1/3 and are compared with those for the Coulomb-interaction Hamiltonian.",

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AB - The quantum Monte-Carlo method is applied to two-dimensional electron systems under strong magnetic fields. The negative-sign problem induced by this method can be avoided for certain filling factors by making a sign-problem-free Hamiltonian approximating the Coulomb-interaction Hamiltonian well. Our techniques for obtaining the sign-problem-free Hamiltonian are described in detail. Calculated results for the sign-problem-free Hamiltonian are also reported for Landau level filling ν = 1/3 and are compared with those for the Coulomb-interaction Hamiltonian.

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