Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation

doi:10.1088/1674-1056/27/8/087306

中国物理B ›› 2018, Vol. 27 ›› Issue (8): 87306-087306.doi: 10.1088/1674-1056/27/8/087306

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation

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

Department of Physics, Chongqing University, Chongqing, China

收稿日期:2018-05-02 修回日期:2018-05-11 出版日期:2018-08-05 发布日期:2018-08-05
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 and 91630205) and Chongqing Research Program for Basic Research and Frontier Technology (Grant No. cstc2017jcyjAX0084).

Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation

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

Department of Physics, Chongqing University, Chongqing, China

Received:2018-05-02 Revised:2018-05-11 Online:2018-08-05 Published:2018-08-05
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 and 91630205) and Chongqing Research Program for Basic Research and Frontier Technology (Grant No. cstc2017jcyjAX0084).

摘要/Abstract

摘要：

By exactly solving the effective two-body interaction for a two-dimensional electron system with layer thickness and an in-plane magnetic field, we recently found that the effective interaction can be described by the generalized pseudopotentials (PPs) without the rotational symmetry. With this pseudopotential description, we numerically investigate the behavior of the fractional quantum Hall (FQH) states both in the lowest Landau level (LLL) and first excited Landau level (1LL). The enhancements of the 7/3 FQH state on the 1LL for a small tilted magnetic field are observed when layer thickness is larger than some critical values, while the gap of the 1/3 state in the LLL monotonically reduced with increasing the in-plane field. From the static structure factor calculation, we find that the systems are strongly anisotropic and finally enter into a stripe phase with a large tilting. With considering the Landau level mixing correction on the two-body interaction, we find the strong LL mixing cancels the enhancements of the FQH states in the 1LL.

关键词: fractional quantum Hall, in-plane magnetic field, pseudopotentials, Landau level mixing

Abstract:

Key words: fractional quantum Hall, in-plane magnetic field, pseudopotentials, Landau level mixing

中图分类号: (Collective excitations)

73.43.Lp

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

杨林鹏, 李骐, 胡自翔. Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation[J]. 中国物理B, 2018, 27(8): 87306-087306.

Lin-Peng Yang(杨林鹏), Qi Li(李骐), Zi-Xiang Hu(胡自翔). Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation[J]. Chin. Phys. B, 2018, 27(8): 87306-087306.

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Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation

Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation

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