Unified hydrodynamics theory of the lowest Landau level

Abstract

We propose a hydrodynamics theory of collective quantum Hall states, which describes incompressible liquids, hexatic liquid crystals, a bubble solid and a Wigner crystal states within a unified framework. The structure of the theory is uniquely determined by the space-time symmetry, and a symmetry with respect to static shear deformations. In agreement with recent experiments the theory predicts two gapped collective modes for incompressible liquids. We argue that the presence of the above two modes is a universal property of a magnetized two-dimensional collective liquid.

RevTex, 8 pages. Revised and expanded version

References in corpus (2)

• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$
• Magnetoelasticity theory of incompressible quantum Hall liquids

Cited by in corpus (10)

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• Bimetric Theory of Fractional Quantum Hall States
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Spectral Sum Rules and Magneto-Roton as Emergent Graviton in Fractional Quantum Hall Effect
• Lorentz shear modulus of fractional quantum Hall states
• Time-dependent deformation functional theory
• Hall viscosity and electromagnetic response of electrons in graphene
• A new collective mode in the fractional quantum Hall liquid
• Hall Viscosity Revealed via Density Response
• Nonlinear hydrodynamic response of a quantum Hall system