Liquid-Crystal State of $ν=1/m$ Quantum Hall Effects
Abstract
Description
At filling factor $ν=1/m$, $m$ 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.
4 pages; shorter version, resubmitted to Phys. Rev. Lett.; some explanations are added
4 pages; shorter version, resubmitted to Phys. Rev. Lett.; some explanations are added