Model anisotropic quantum Hall states

Abstract

Model quantum Hall states including Laughlin, Moore-Read and Read-Rezayi states are generalized into appropriate anisotropic form. The generalized states are exact zero-energy eigenstates of corresponding anisotropic two- or multi-body Hamiltonians, and explicitly illustrate the existence of geometric degrees of in the fractional quantum Hall effect. These generalized model quantum Hall states can provide a good description of the quantum Hall system with anisotropic interactions. Some numeric results of these anisotropic quantum Hall states are also presented.

10 pages, 5 figures

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Cited by in corpus (64)

• Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Band structure engineering of ideal fractional Chern insulators
• Field theory of the quantum Hall nematic transition
• Chiral Gravitons in Fractional Quantum Hall Liquids
• Fractional (Chern and topological) insulators
• Theory of Nematic Fractional Quantum Hall State
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• Fractional topological states of dipolar fermions in one-dimensional optical superlattices
• Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
• Composite Fermions with Tunable Fermi Contour Anisotropy
• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• New Dirac points and multiple Landau level crossings in biased trilayer graphene
• Lattice construction of pseudopotential Hamiltonians for Fractional Chern Insulators
• Fractional quantum Hall effect in a tilted magnetic field
• Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect
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• Evidence of a fractional quantum Hall nematic phase in a microscopic model
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• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Fermi Contour Anisotropy of GaAs Electron-Flux Composite Fermions in Parallel Magnetic Fields
• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
• Transference of Fermi Contour Anisotropy to Composite Fermions
• Field Theory of Nematicity in the Spontaneous Quantum Anomalous Hall effect
• Numerical study of anisotropy in a composite Fermi liquid
• Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes
• Microscopic Model for Fractional Quantum Hall Nematics
• Incompressible States of Dirac Fermions in Graphene with Anisotropic Interactions
• Viscoelastic response of quantum Hall fluids in a tilted field
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• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
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• Composite fermions in bands with N-fold rotational symmetry
• Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states
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• Optical emission spectroscopy study of competing phases of electrons in the second Landau level
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• Corner Charge Fluctuations and Many-Body Quantum Geometry
• An Exactly Solvable Model for Strongly Interacting Electrons in a Magnetic Field
• Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
• Charge density waves and their transitions in anisotropic quantum Hall systems
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• Collective excitations of quantum Hall states under tilted magnetic field
• Entanglement spectrum edge reconstruction and correlation hole of the FQH liquids
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• Anisotropy and quench dynamics of quasiholes in fractional quantum Hall liquids
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid
• Exact Mappings in Condensed Matter Physics
• Dynamical Geometry of the Haldane Model under a Quantum Quench
• Generalizing the composite fermion theory for fractional Chern insulators
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators
• Evolution of the optimal trial wave function with interactions in fractional Chern insulators