Wigner Crystals in the lowest Landau level at low filling factors

Details Wigner Crystals in the lowest Landau level at low filling factors Wigner Crystals in the lowest Landau level at low filling factors

2001-05-08

arxiv.org/abs/cond-mat/0105170v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 papges RevTex with 8 eps figures embedded in the text

Scientific paper

10.1103/PhysRevB.64.081301

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 close to 1/7. At nu=1/7 we find the system undergoes a phase transition from 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.

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