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

Sei Suzuki, Tatsuya Nakajima

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1103-1106
Number of pages4
Journaljournal of the physical society of japan
Volume73
Issue number5
DOIs
Publication statusPublished - 2004 May 1

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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