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28 March 2024
 
  » arxiv » 1903.9737

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Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
Wu-Qing Yang ; Qi Li ; Lin-Peng Yang ; Zi-Xiang Hu ;
Date 23 Mar 2019
AbstractFor 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.
Source arXiv, 1903.9737
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