Collective excitations of quantum Hall states under tilted magnetic field

Abstract

We study the neutral excitations of fractional quantum Hall states in electronic systems of finite width where an external anisotropy is introduced by tilting the magnetic field. As in the isotropic case, the neutral collective excitation can be worked out through the conserving method of composite fermions in the Hamiltonian theory because the interaction potential has a natural cutoff due to the quantum well width. We show how such a computation can be carried out perturbatively for an anisotropic interaction. We find that unlike the charge gap, the neutral collective gap is much more sensitive to the tilt and can thus, for certain fractional quantum Hall states, be easily destroyed by the parallel component of the magnetic field. We also discuss the convergence of the collective spectrum to the activation gap in the large-momentum limit.

References in corpus (35)

• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Is the Composite Fermion a Dirac Particle?
• Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
• Towards a field theory of the fractional quantum Hall states
• Band Structure of the Fractional Quantum Hall Effect
• Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect
• Evidence for a fractional quantum Hall state with anisotropic longitudinal transport
• Bimetric Theory of Fractional Quantum Hall States
• Field theory of the quantum Hall nematic transition
• Model anisotropic quantum Hall states
• Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
• Magneto-roton excitation of fractional quantum Hall effect: Comparison between theory and experiment
• Theory of Nematic Fractional Quantum Hall State
• Composite Fermions with Tunable Fermi Contour Anisotropy
• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• Fractional quantum Hall effect in a tilted magnetic field
• Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect
• Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
• Hamiltonian theory of gaps, masses and polarization in quantum Hall states: full disclosure
• 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
• Fractional Quantum Hall Effect in the Second Landau Level: the Importance of Inter-Composite-Fermion Interaction
• Hamiltonian Description of Composite Fermions: Magnetoexciton Dispersions
• Hamiltonian Description of Composite Fermions: Aftermath
• The excitonic collapse of higher Landau level fractional quantum Hall effect
• Enhancement of the $\nu =5/2$ Fractional Quantum Hall State in a Small In-Plane Magnetic Field
• Anisotropic Pseudopotential Characterization of Quantum Hall Systems under Tilted Magnetic Field
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Complete spin phase diagram of the fractional quantum Hall liquid
• Hamiltonian Theory of the FQHE: Conserving Approximation for Incompressible Fractions
• Geometric Resonance of Four-Flux Composite Fermions
• Hamiltonian theory for Quantum Hall systems in a tilted magnetic field: robustness of activation gaps
• The behavior of the fractional quantum Hall states in the LLL and 1LL with in-plane magnetic field and Landau level mixing: a numerical investigation
• Quantum Hall stripes in high-density GaAs/AlGaAs quantum wells

Cited by in corpus (2)

• Quantum Metric Induced Phases in Moiré Materials
• Charge density waves and their transitions in anisotropic quantum Hall systems