Compressible Anisotropic States around the Half-Filled Landau Levels

Abstract

Using the von Neumann lattice formalism, we study compressible anisotropic states around the half-filled Landau levels in the quantum Hall system. In these states the unidirectional charge density wave (UCDW) state seems to be the most plausible state. The charge density profile and Hartree-Fock energy of the UCDW are calculated self-consistently. The wave length dependence of the energy for the UCDW is also obtained numerically. We show that the UCDW is regarded as a collection of the one-dimensional lattice Fermi-gas systems which extend to the uniform direction. The kinetic energy of the gas system is generated dynamically from the Coulomb interaction.

6 pages, 5 figures, accepted version for publication in PRB

References in corpus (8)

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• Liquid Crystal Phases of Quantum Hall Systems
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
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• Charge-density-wave states in double-layer graphene structures in a high magnetic field
• Anisotropic ground states of the quantum Hall system with currents
• Optimal orientation of striped states in the quantum Hall system against external modulations
• Energy Spectrum of Neutral Collective Excitations in Striped Hall States
• Pressure, Resistance, and Current Activation of Anisotropic Compressible Hall States
• Effective Hamiltonian for striped and paired states at the half-filled Landau level
• Intra-Landau level polarization effect for a striped Hall gas
• Neutral Collective Excitations in Striped Hall States
• Theory of Striped Hall Ferromagnets
• Induced Chern-Simons term of a paired electron state in the quantum Hall system
• Paired and Stripe States in the Quantum Hall System