Quantum Monte-Carlo Method without Negative-Sign Problem for Two-Dimensional Electron Systems under Strong Magnetic Fields

• Suzuki Sei

  Department of Basic Science, University of Tokyo

• Nakajima Tatsuya

  Department of Physics, Tohoku University

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 73 (5), 1103-1106, 2004

  一般社団法人 日本物理学会

キーワード

• quantum Monte-Carlo
• negative-sign problem
• fractional quantum Hall states

詳細情報

• CRID: 1390282679163125376
• NII論文ID: 110001954815
• NII論文ID: 130004538782
• NII論文ID: 210000104782
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.73.1103
• BIBCODE: 2004JPSJ...73.1103S
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 6940623
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6940623
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.73.1103
• 本文言語コード: en
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