中国物理B ›› 2019, Vol. 28 ›› Issue (6): 67303-067303.doi: 10.1088/1674-1056/28/6/067303

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Neutral excitation and bulk gap of fractional quantum Hall liquids in disk geometry

Wu-Qing Yang(杨武庆), Qi Li(李骐), Lin-Peng Yang(杨林鹏), Zi-Xiang Hu(胡自翔)   

  1. 1 Department of Physics, Chongqing University, Chongqing 401331, China;
    2 Department of Physics, South University of Science and Technology of China, Shenzhen 518055, China;
    3 School of Physics and Technology, Wuhan University, Wuhan 430072, China
  • 收稿日期:2019-03-22 修回日期:2019-04-04 出版日期:2019-06-05 发布日期:2019-06-05
  • 通讯作者: Zi-Xiang Hu E-mail:zxhu@cqu.edu.cn
  • 基金资助:

    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), and FRF for the Central Universities (Grant No. 2019CDJDWL0005).

Neutral excitation and bulk gap of fractional quantum Hall liquids in disk geometry

Wu-Qing Yang(杨武庆)1, Qi Li(李骐)2,3, Lin-Peng Yang(杨林鹏)1, Zi-Xiang Hu(胡自翔)1   

  1. 1 Department of Physics, Chongqing University, Chongqing 401331, China;
    2 Department of Physics, South University of Science and Technology of China, Shenzhen 518055, China;
    3 School of Physics and Technology, Wuhan University, Wuhan 430072, China
  • Received:2019-03-22 Revised:2019-04-04 Online:2019-06-05 Published:2019-06-05
  • Contact: Zi-Xiang Hu E-mail:zxhu@cqu.edu.cn
  • Supported by:

    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), and FRF for the Central Universities (Grant No. 2019CDJDWL0005).

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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.

关键词: fractional quantum Hall, bulk states, edge states, magneto-roton, dipolar-dipolar interaction

Abstract:

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.

Key words: fractional quantum Hall, bulk states, edge states, magneto-roton, dipolar-dipolar interaction

中图分类号:  (Collective excitations)

  • 73.43.Lp
71.10.Pm (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))