Wigner crystals in the lowest Landau level at low-filling factors

Kun Yang, F. D.M. Haldane, E. H. Rezayi

Research output: Contribution to journalArticlepeer-review

81 Scopus citations


We report on results of finite-size numerical studies of partially filled lowest Landau level, at low electron filling factors. We find convincing evidence suggesting that electrons form Wigner crystals at sufficiently low filling factors, and the critical filling factor is vc≅1/7. At v= 1/7 we find the system undergoes a phase transition from the Wigner crystal to the incompressible Laughlin state when the short-range part of the Coulomb interaction is modified slightly. This transition is either continuous or very weakly first order.

Original languageEnglish (US)
Article number081301
Pages (from-to)813011-813014
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number8
StatePublished - Aug 15 2001

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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