Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds
文献类型：期刊论文
| 作者 | Yu, Yue ; Yu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China
|
| 刊名 | NUCLEAR PHYSICS B
 |
| 出版日期 | 2008 |
| 卷号 | 799期号:3页码:345-363 |
| 关键词 | Quantum Hall States Riemannian Geometry Spectral Asymmetry Elliptic Operators Field-theory Edge Excitations Boundary Conductance Dimensions Invariant |
| ISSN号 | 0550-3213 |
| 英文摘要 | We construct an exactly soluble spin-model on a honeycomb lattice, which is a generalization of Kitaev model. The topological phases of the system are analyzed by study of the ground state sector of this model, the vortex-free states. Basically, there are two phases, A phase and B phase. The behaviors of both A and B phases may be studied by mapping the ground state sector into a general p-wave paired states of spinless fermions with tunable pairing parameters on a square lattice. In this p-wave paired state theory, the A phase is shown to be the strong paired phase, an insulating phase. The B phase may be either gapped or gapless determined by the generalized inversion symmetry is broken or not. The gapped B is the weak pairing phase described by either the Moore-Read Pfaffian state of the spinless fermions or anti-Pfaffian state of holes depending on the sign of the next nearest neighbor hopping amplitude. A phase transition between Pfaffian and anti-Pfaffian states are found in the gapped B phase. Furthermore, we show that there is a hidden SU(2) gauge symmetry in our model. In the gapped B phase, the ground state has a non-trivial topological number, the spectral first Chern number or the chiral central charge, which reflects the chiral anomaly of the edge state. We proved that the topological number is identified to the reduced eta-invariant and this anomaly may be cancelled by a bulk Wess-Zumino term of SO(3) group through an index theorem in 2 + 1 dimensions. (c) 2008 Elsevier B.V. All rights reserved. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000256788800005 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5479]  |
| 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 | Yu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, Yue,Yu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds[J]. NUCLEAR PHYSICS B,2008,799(3):345-363. |
| APA | Yu, Yue,&Yu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.(2008).Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds.NUCLEAR PHYSICS B,799(3),345-363. |
| MLA | Yu, Yue,et al."Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds".NUCLEAR PHYSICS B 799.3(2008):345-363. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。