Stability of the Smectic Quantum Hall State: A Quantitative Study

Abstract

We present an effective elastic theory which {\em quantitatively} describes the stripe phase of the two-dimensional electron gas in high Landau levels ($N\ge 2$). The dynamical matrix is obtained with remarkably high precision from the density-density correlation function in the time-dependent Hartree-Fock approximation. A renormalization group analysis shows that at T=0, as the partial filling factor $\Delta \nu \equiv \nu -\lfloor \nu \rfloor$ moves away from 1/2, the anisotropic conducting state may undergo quantum phase transitions: stripes may get pinned along their conducting direction by disorder, or may lock into one another to form a two-dimensional crystal. The model predicts values of $\Delta \nu$ for each transition. The transitions should be reflected in the temperature dependence of the dissipative conductivity.

4 pages, 3 EPS figures

References in corpus (3)

• Bosonization and Strongly Correlated Systems
• Quantum Theory of Quantum-Hall Smectics
• Unlocking Transition for Modulated Surfaces and Quantum Hall Stripes

Cited by in corpus (20)

• Quantum Theory of a Nematic Fermi Fluid
• Structures for Interacting Composite Fermions: Stripes, Bubbles, and Fractional Quantum Hall Effect
• Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
• Dynamics of electrons in the quantum Hall bubble phases
• Observation of pinning mode of stripe phases of 2D systems in high Landau levels
• Fermi hypernetted-chain study of half-filled Landau levels with broken rotational symmetry
• Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
• Pinning mode resonances of 2D electron stripe phases: Effect of in-plane magnetic field
• Quantum Hall Smectics, Sliding Symmetry and the Renormalization Group
• Reorientation of quantum Hall stripes within a partially filled Landau level
• Theory of the Quantum Hall Smectic Phase II: Microscopic Theory
• Effective theory of incompressible quantum Hall liquid crystals
• Dynamics of quantum Hall stripes in double-quantum-well systems
• Quantum Depinning Transition of Quantum Hall Stripes
• Charge-density-wave states in double-layer graphene structures in a high magnetic field
• Phase diagram for quantum Hall states in graphene
• Vortex Deconfinement in the XY Model with a Magnetic Field
• Dynamical Conductivity of Disordered Quantum Hall Stripes
• Disordered Quantum smectics
• Charge density waves and their transitions in anisotropic quantum Hall systems