Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
arXiv:1903.09737 · doi:10.1088/1674-1056/28/6/067303
Abstract
For the numerical simulation of the fractional quantum Hall effects on a finite disk, the rotational symmetry is the only symmetry that were used in diagonalizing the Hamiltonian. In this work, we propose a method of using the weak translational symmetry for the center of mass of the many-body system. With this approach, the bulk properties , such as the energy gap and the magneto-roton excitation are exactly consistent with that in the closed manifold like sphere and torus. As an application, we consider the FQH phase and its phase transition in the fast rotated dipolar fermions. We thus weapon the disk geometry versatility in analyzing the bulk properties beside the usual edge physics.
arXiv comment6 pages, 7 figures
References in corpus (36)
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Bose-Einstein condensation of chromium
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- Rapidly Rotating Atomic Gases
- Geometrical Description of the Fractional Quantum Hall Effect
- Sharp and Smooth Boundaries of Quantum Hall Liquids
- Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
- Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
- A Chern-Simons Effective Field Theory for the Pfaffian Quantum Hall State
- Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
- Resonant Tunneling Between Quantum Hall Edge States
- Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
- Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
- Fractional Quantum Hall States in Ultracold Rapidly Rotating Dipolar Fermi Gases
- Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
- Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect
- Probing Non-Abelian Statistics with QuasiParticle Interferometry
- Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
- Edge reconstruction in the fractional quantum Hall regime
- Edge reconstruction in the fractional quantum Hall state
- A New Paradigm for Edge Reconstruction in Fractional Quantum Hall States
- Model anisotropic quantum Hall states
- Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
- Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
- Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
- Strongly Correlated States of Ultracold Rotating Dipolar Fermi Gases
- Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect
- Fractional Quantum Hall States at 1/3 and 5/2 Filling: the Density-Matrix Renormalization Group Calculations
- Bulk-edge coupling in the non-abelian quantum Hall interferometer
- Comparison of the density-matrix renormalization group method applied to fractional quantum Hall systems in different geometries
- Quantum Hall effects in fast rotating Fermi gases with anisotropic dipolar interaction
- Trapping Abelian anyons in fractional quantum Hall droplets
- Phase transition and intrinsic metric of the dipolar fermions in quantum Hall regime
- Scaling and non-Abelian signature in fractional quantum Hall quasiparticle tunneling amplitude
- 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
- Stability of the 5/2 Fractional Quantum Hall State in a Corbino Disc Sample with In-plane Electric Fields