Collective Modes of Quantum Hall Stripes
arXiv:cond-mat/0001169 · doi:10.1103/PhysRevB.62.1993
Abstract
The collective modes of striped phases in a quantum Hall system are computed using the time-dependent Hartree-Fock approximation. Uniform stripe phases are shown to be unstable to the formation of modulations along the stripes, so that within the Hartree-Fock approximation the groundstate is a stripe crystal. Such crystalline states are generically gapped at any finite wavevector; however, in the quantum Hall system the interactions of modulations among different stripes is found to be remarkably weak, leading to an infinite collection of collective modes with immeasurably small gaps. The resulting long wavelength behavior is derivable from an elastic theory for smectic liquid crystals. Collective modes for the phonon branch are computed throughout the Brillouin zone, as are spin wave and magnetoplasmon modes. A soft mode in the phonon spectrum is identified for partial filling factors sufficiently far from 1/2, indicating a second order phase transition. The modes contain several other signatures that should be experimentally observable.
36 pages LaTex with 11 postscript figures. Short animations of the collective modes can be found at http://www.physique.usherb.ca/~rcote/stripes/stripes.htm
References in corpus (5)
- Quantum Theory of Quantum-Hall Smectics
- Nematic phase of the two-dimensional electron gas in a magnetic field
- Field-tilt Anisotropy Energy in Quantum Hall Stripe States
- Finite Temperature Density Instability at High Landau Level Occupancy
- Unlocking Transition for Modulated Surfaces and Quantum Hall Stripes
Cited by in corpus (33)
- Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
- Wigner crystal and bubble phases in graphene in the quantum Hall regime
- Dynamics of electrons in the quantum Hall bubble phases
- Observation of pinning mode of stripe phases of 2D systems in high Landau levels
- Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
- Reorientation of Anisotropy in a Square Well Quantum Hall Sample
- Highly Anisotropic Transport in the Integer Quantum Hall Effect
- Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
- Striped States in Quantum Hall Effect: Deriving a Low Energy Theory from Hartree-Fock
- Quantum Hall Smectics, Sliding Symmetry and the Renormalization Group
- Reorientation of quantum Hall stripes within a partially filled Landau level
- Anisotropic states of two-dimensional electrons in high magnetic fields
- Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
- Theory of the Quantum Hall Smectic Phase II: Microscopic Theory
- Dynamics of quantum Hall stripes in double-quantum-well systems
- Orientation of the Stripe Formed by the Two-Dimensional Electrons in Higher Landau Levels
- Charge-density-wave states in double-layer graphene structures in a high magnetic field
- Quantum Depinning Transition of Quantum Hall Stripes
- Anisotropic ground states of the quantum Hall system with currents
- RD-NMR spectra of the crystal states of the two-dimensional electron gas in a quantizing magnetic field
- Optimal orientation of striped states in the quantum Hall system against external modulations
- Dynamical Conductivity of Disordered Quantum Hall Stripes
- Quantum theory of bilayer quantum Hall smectics
- Charge density waves and their transitions in anisotropic quantum Hall systems
- Disordered Quantum smectics
- Energy Spectrum of Neutral Collective Excitations in Striped Hall States
- Fluctuations and topological transitions of quantum Hall stripes: nematics as anisotropic hexatics
- Intra-Landau level polarization effect for a striped Hall gas
- Reordering Fractional Chern Insulators into Stripes of Fractional Charges with Long-Range Interactions
- Hysteresis effect in ν=1 quantum Hall system under periodic electrostatic modulation
- Topological Phase Transitions of Interacting Fermions in the Presence of a Commensurate Magnetic Flux
- Metastable anisotropy orientation of nematic quantum Hall fluids
- Neutral Collective Excitations in Striped Hall States