| 题名 | Principal component analysis of the geometry in anisotropic quantum Hall states |
| 作者 | |
| 通讯作者 | Hu, Zi-Xiang |
| 发表日期 | 2020-09-18
|
| DOI | |
| 发表期刊 | |
| ISSN | 2469-9950
|
| EISSN | 2469-9969
|
| 卷号 | 102期号:11 |
| 摘要 | In the presence of mass anisotropy, anisotropic interaction, or in-plane magnetic field, quantum Hall droplets can exhibit shape deformation and an internal geometrical degree of freedom. We characterize the geometry of quantum Hall states by principal component analysis, which is a statistical technique that emphasizes variation in a data set. We first test the method in an integer quantum Hall droplet with dipole-dipole interaction in disk geometry. In the subsequent application to fractional quantum Hall systems with anisotropic Coulomb interaction in torus geometry, we demonstrate that the principal component analysis can quantify the metric degree of freedom and predict the collapse of a nu = 1/3 state. We also calculate the metric response to interaction anisotropy at filling fractions nu = 1/5 and 2/5 and show that the response is roughly the same within the same Jain sequence but can differ at large anisotropy for different sequences. |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 其他
|
| 资助项目 | National Natural Science Foundation of China[11674041][11974064][11674282][11474144]
; Strategic Priority Research Program of Chinese Academy of Sciences[XDB28000000]
; National Basic Research Program of China[2015CB921101]
|
| WOS研究方向 | Materials Science
; Physics
|
| WOS类目 | Materials Science, Multidisciplinary
; Physics, Applied
; Physics, Condensed Matter
|
| WOS记录号 | WOS:000570979100001
|
| 出版者 | |
| EI入藏号 | 20204309397528
|
| EI主题词 | Anisotropy
; Quantum Hall effect
; Degrees of freedom (mechanics)
; Geometry
; Drops
; Quantum theory
|
| EI分类号 | Mathematics:921
; Mathematical Statistics:922.2
; Classical Physics; Quantum Theory; Relativity:931
; Mechanics:931.1
; Physical Properties of Gases, Liquids and Solids:931.2
; Quantum Theory; Quantum Mechanics:931.4
|
| ESI学科分类 | PHYSICS
|
| 来源库 | Web of Science
|
| 引用统计 |
被引频次[WOS]：13
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/186586 |
| 专题 | 量子科学与工程研究院 理学院_物理系 |
| 作者单位 | 1.Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China 2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China 3.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China 4.Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China 5.Chongqing Univ, Ctr Quantum Mat & Device, Chongqing 401331, Peoples R China 6.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Jiang, Na,Ke, Siyao,Ji, Hengxi,et al. Principal component analysis of the geometry in anisotropic quantum Hall states[J]. PHYSICAL REVIEW B,2020,102(11).
|
| APA |
Jiang, Na,Ke, Siyao,Ji, Hengxi,Wang, Hao,Hu, Zi-Xiang,&Wan, Xin.(2020).Principal component analysis of the geometry in anisotropic quantum Hall states.PHYSICAL REVIEW B,102(11).
|
| MLA |
Jiang, Na,et al."Principal component analysis of the geometry in anisotropic quantum Hall states".PHYSICAL REVIEW B 102.11(2020).
|
| 条目包含的文件 | 条目无相关文件。 | |||||
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