摘要
For the numerical simulation of the fractional quantum Hall(FQH) effects on a finite disk, the rotational symmetry is the only symmetry that is 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 consistent with those in the closed manifolds like the sphere and torus. As an application, we consider the FQH phase and its phase transition in the fast rotated dipolar fermions. We thus demonstrate the disk geometry having versatility in analyzing the bulk properties beside the usual edge physics.
For the numerical simulation of the fractional quantum Hall(FQH) effects on a finite disk, the rotational symmetry is the only symmetry that is 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 consistent with those in the closed manifolds like the sphere and torus. As an application, we consider the FQH phase and its phase transition in the fast rotated dipolar fermions. We thus demonstrate the disk geometry having versatility in analyzing the bulk properties beside the usual edge physics.
作者
Wu-Qing Yang
Qi Li
Lin-Peng Yang
Zi-Xiang Hu
杨武庆;李骐;杨林鹏;胡自翔(Department of Physics,Chongqing University,Chongqing 401331,China;Department of Physics,South University of Science and Technology of China,Shenzhen 518055,China;School of Physics and Technology,Wuhan University,Wuhan 430072,China)
基金
Project supported by the National Natural Science Foundation of China(Grant Nos.11674041,91630205,11474144,and 11847301)
Chongqing Research Program of Basic Research and Frontier Technology(Grant No.cstc2017jcyjAX0084)
FRF for the Central Universities(Grant No.2019CDJDWL0005)
