Elastic theory of quantum Hall smectics: effects of disorder

Abstract

We study the effect of disorder on quantum Hall smectics within the framework of an elastic theory. Based on a renormalization group calculation, we derive detailed results for the degrees of translational and orientational order of the stripe pattern at zero temperature and carefully map out the disorder and length-scale regimes in which the system effectively exhibits smectic, nematic, or isotropic behavior. We show that disorder always leads to a finite density of free dislocations and estimate the scale on which they begin to appear.

4 pages latex with 1 EPS figure

References in corpus (5)

• Vortex-glass phases in type-II superconductors
• Quantum Theory of Quantum-Hall Smectics
• Conductivity tensor of striped quantum Hall phases
• Hydrodynamics of the quantum Hall smectics
• The half-filled Landau level - composite fermions and dipoles

Cited by in corpus (5)

• Striped States in Quantum Hall Effect: Deriving a Low Energy Theory from Hartree-Fock
• Quantum theory of bilayer quantum Hall smectics
• Disordered Quantum smectics
• Mean-field Phase Diagram of Two-Dimensional Electrons with Disorder in a Weak Magnetic Field
• Anisotropic conductivity tensor on a half-filled high Landau level