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

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

Sei Suzuki·Tatsuya Nakajima

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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 involved by this method can be avoided for certain filling factors by modifying interaction parameters from those of the Coulomb interaction. Our techniques for obtaining sign-problem-free parameters are described in detail. Calculated results on static observables are also reported for Landau level filling $ν= 1/3$.

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Sei Suzuki, Tatsuya Nakajima. 2004-01-23. Quantum Monte-Carlo method without negative-sign problem for two-dimensional electron systems under strong magnetic fields. https://doi.org/10.1143/jpsj.73.1103

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