Stability of the compressible quantum Hall state around the half-filled Landau level

Abstract

We study the compressible states in the quantum Hall system using a mean field theory on the von Neumann lattice. In the lowest Landau level, a kinetic energy is generated dynamically from Coulomb interaction. The compressibility of the state is calculated as a function of the filling factor $\nu$ and the width $d$ of the spacer between the charge carrier layer and dopants. The compressibility becomes negative below a critical value of $d$ and the state becomes unstable at $\nu =1/2$. Within a finite range around $\nu =1/2$, the stable compressible state exists above the critical value of $d$.

4 pages, 4 Postscript figures, RevTex

References in corpus (2)

• A dipole interpretation of the $\nu =1/2$ state
• Field Theory on the von Neumann Lattice and the Quantized Hall Conductance of Bloch Electrons

Cited by in corpus (11)

• Compressible Anisotropic States around the Half-Filled Landau Levels
• 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
• Paired and Stripe States in the Quantum Hall System
• Neutral Collective Excitations in Striped Hall States
• Theory of Striped Hall Ferromagnets
• Anisotropy in the Compressible Quantum Hall State