Liquid-Crystal State of $ν=1/m$ Quantum Hall Effects

Details Liquid-Crystal State of $ν=1/m$ Quantum Hall Effects Liquid-Crystal State of $ν=1/m$ Quantum Hall Effects

2005-01-20

arxiv.org/abs/cond-mat/0501507v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages; shorter version, resubmitted to Phys. Rev. Lett.; some explanations are added

Scientific paper

At filling factor $\nu=1/m$, $m$ odd integer, I present variational
ground-state and excited-state wave functions, of two-dimensional electron
system with homogeneous ion background, that show the condensation into a
liquid-crystal state. For $m=1, 3, 5$, the ground-state energy per electron is
substantially lower than the Laughlin one, for uniform liquid state.

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