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 |
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Pages (from-to) | 1103-1106 |
Number of pages | 4 |
Journal | journal of the physical society of japan |
Volume | 73 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2004 May |
Keywords
- Fractional quantum Hall states
- Negative-sign problem
- Quantum Monte-Carlo
ASJC Scopus subject areas
- Physics and Astronomy(all)