Effective theory of incompressible quantum Hall liquid crystals

Abstract

I propose an effective theory of zero-temperature phases of the quantum Hall stipes: a smectic phase where the stripes are static and a novel quantum nematic phase where the positional order is destroyed by quantum fluctuations. The nematic is viewed as a Bose condensate of dislocations whose interactions are mediated by a U(1) gauge field. Collective mode spectrum and the dynamical structure factor in the two phases are calculated.

5 pages, 2 figures

References in corpus (9)

• Quantum Theory of a Nematic Fermi Fluid
• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
• Theory of Quantum Hall Nematics
• Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
• Fermi hypernetted-chain study of half-filled Landau levels with broken rotational symmetry
• Striped States in Quantum Hall Effect: Deriving a Low Energy Theory from Hartree-Fock
• The excitonic collapse of higher Landau level fractional quantum Hall effect
• Hypernetted-chain study of broken rotational symmetry states for the $\mathbf{\nu }$ = 1/3 fractional quantum Hall effect and other fractionally filled Landau levels
• Energy Spectrum of Neutral Collective Excitations in Striped Hall States

Cited by in corpus (6)

• Model anisotropic quantum Hall states
• Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• Fractional quantum Hall effect in a tilted magnetic field
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Collective excitations in quantum Hall liquid crystals: Single-mode approximation calculations