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 | |
| Publication status | Published - 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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Suzuki, S., & Nakajima, T. (2004). Quantum Monte-Carlo method without negative-sign problem for two-dimensional electron systems under strong magnetic fields. journal of the physical society of japan, 73(5), 1103-1106. https://doi.org/10.1143/JPSJ.73.1103