Broken rotation symmetry in the fractional quantum Hall system
arXiv:cond-mat/9505099 · doi:10.1088/0953-8984/8/8/002
Abstract
We demonstrate that the two-dimensonal electron system in a strong perpendicular magnetic field has stable states which break rotational but not translational symmetry. The Laughlin fluid becomes unstable to these states in quantum wells whose thickness exceeds a critical value which depends on the electron density. The order parameter at 1/3 reduced density resembles that of a nematic liquid crystal, in that a residual two-fold rotation axis is present in the low symmetry phase. At filling factors 1/5 and 1/7, there are states with four- and six-fold axes, as well. We discuss the experimental detection of these phases.
8 pages, LaTex 3.1, figures attached
References in corpus (1)
Cited by in corpus (31)
- Theory of Intertwined Orders in High Temperature Superconductors
- Nematic Fermi Fluids in Condensed Matter Physics
- Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
- Evidence for a fractional quantum Hall state with anisotropic longitudinal transport
- Field theory of the quantum Hall nematic transition
- Model anisotropic quantum Hall states
- Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
- Evidence for a Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
- Effective Field Theory of Fractional Quantized Hall Nematics
- Fractional quantum Hall effect in a tilted magnetic field
- Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect
- Evidence of a fractional quantum Hall nematic phase in a microscopic model
- Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
- Field Theory of Nematicity in the Spontaneous Quantum Anomalous Hall effect
- Numerical study of anisotropy in a composite Fermi liquid
- Microscopic Model for Fractional Quantum Hall Nematics
- Anisotropic magnetoresistance and piezoelectric effect in GaAs Hall samples
- Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
- Pair-distribution functions of correlated composite fermions
- Pair-Density-Wave Order and Paired Fractional Quantum Hall Fluids
- Emergent dome of nematic order around a quantum anomalous Hall critical point
- Optical emission spectroscopy study of competing phases of electrons in the second Landau level
- Electron-solid and electron-liquid phases in graphene
- Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin- Bilinear-Biquadratic Model on the Square Lattice
- Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
- Quantum Hall Liquid Crystals
- Effective theory of incompressible quantum Hall liquid crystals
- Interaction-dependent anisotropy of fractional quantum Hall states
- Collective excitations in quantum Hall liquid crystals: Single-mode approximation calculations
- Observation of new plasmons in the fractional quantum Hall effect: interplay of topological and nematic orders
- Massive Higher-Spin Fields in the Fractional Quantum Hall Effect