W-INFINITE SYMMETRIES IN THE HIERARCHICAL QUASI-PARTICLE STATES (LOWEST LANDAU-LEVEL STATES) OF THE FRACTIONAL QUANTUM HALL SYSTEMS | |
CHEN, YX , ZHEJIANG UNIV,INST MODERN PHYS,HANGZHOU 310027,PEOPLES R CHINA.; CHEN, YX; MA, ZS; SU, ZB | |
刊名 | INTERNATIONAL JOURNAL OF MODERN PHYSICS B |
1995 | |
卷号 | 9期号:2页码:195-219 |
关键词 | Cooperative-ring-exchange Simons Gauge-theories Edge Excitations Anyon Superconductivity Collective Excitations Dimensional Algebras Fluid Statistics Degeneracy Constraint |
ISSN号 | 0217-9792 |
英文摘要 | We investigate the W infinite symmetries in the theory of general fractional quantum Hall effects by using the lowest Landau level constraint approach. We find that there does exist a W infinite symmetric algebra for the fractional quantum Hall system with all the quasiparticles being restricted to the lowest Landau level. The corresponding generators can be used to generate the new degenerate wavefunctions of the lowest Landau level states by means of Laughlin and Halperin wavefunctions. Meanwhile, we find there still exists another W infinite symmetric algebra in the system, whose generators are used to generate the degenerate wavefunctions of the lowest Landau level for the anti-quasiparticles. We conclude that the FQH system can effectively be described by quasiparticle features or anti-quasiparticle features. We also show that the local part of the W infinite symmetric algebras is the magnetic translation operator of the general fractional quantum Hall system. We finally construct the operators of the single mode wave density excitations in the system and discuss their operator product relations. |
学科主题 | Physics |
URL标识 | 查看原文 |
公开日期 | 2012-08-29 |
内容类型 | 期刊论文 |
源URL | [http://ir.itp.ac.cn/handle/311006/11810] |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
通讯作者 | CHEN, YX , ZHEJIANG UNIV,INST MODERN PHYS,HANGZHOU 310027,PEOPLES R CHINA. |
推荐引用方式 GB/T 7714 | CHEN, YX , ZHEJIANG UNIV,INST MODERN PHYS,HANGZHOU 310027,PEOPLES R CHINA.,CHEN, YX,MA, ZS,et al. W-INFINITE SYMMETRIES IN THE HIERARCHICAL QUASI-PARTICLE STATES (LOWEST LANDAU-LEVEL STATES) OF THE FRACTIONAL QUANTUM HALL SYSTEMS[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B,1995,9(2):195-219. |
APA | CHEN, YX , ZHEJIANG UNIV,INST MODERN PHYS,HANGZHOU 310027,PEOPLES R CHINA.,CHEN, YX,MA, ZS,&SU, ZB.(1995).W-INFINITE SYMMETRIES IN THE HIERARCHICAL QUASI-PARTICLE STATES (LOWEST LANDAU-LEVEL STATES) OF THE FRACTIONAL QUANTUM HALL SYSTEMS.INTERNATIONAL JOURNAL OF MODERN PHYSICS B,9(2),195-219. |
MLA | CHEN, YX , ZHEJIANG UNIV,INST MODERN PHYS,HANGZHOU 310027,PEOPLES R CHINA.,et al."W-INFINITE SYMMETRIES IN THE HIERARCHICAL QUASI-PARTICLE STATES (LOWEST LANDAU-LEVEL STATES) OF THE FRACTIONAL QUANTUM HALL SYSTEMS".INTERNATIONAL JOURNAL OF MODERN PHYSICS B 9.2(1995):195-219. |
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