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| 題名: | Non-Abelian topological spin liquids from arrays of quantum wires or spin chains |
| 作者: | 陳炯豪;Huang, Po-Hao;Chen, Jyong-Hao;Gomes, Pedro R. S.;Neupert, Titus;Chamon, Claudio;Mudry, Christopher |
| 貢獻者: | 理學院物理學系 |
| 關鍵詞: | Arrays;Classification;Construction;Degrees of freedom;Mathematical analysis;Mathematical models;Quantum wires;Spin liquid |
| 日期: | 2016-05-13 |
| 上傳時間: | 2026-04-23 12:31:04 (UTC+8) |
| 出版者: | American Physical Society;United States: American Physical Society (APS) |
| 摘要: | 摘要： We construct two-dimensional non-Abelian topologically ordered states by strongly coupling arrays of one-dimensional quantum wires via interactions. In our scheme, all charge degrees of freedom are gapped, so the construction can use either quantum wires or quantum spin chains as building blocks, with the same end result. The construction gaps the degrees of freedom in the bulk, while leaving decoupled states at the edges that are described by conformal field theories (CFT) in (1+1)-dimensional space and time. We consider both the cases where time-reversal symmetry (TRS) is present or absent. When TRS is absent, the edge states are chiral and stable. We prescribe, in particular, how to arrive at all the edge states described by the unitary CFT minimal models with central charges c<1. These non-Abelian spin liquid states have vanishing quantum Hall conductivities, but nonzero thermal ones. When TRS is present, we describe scenarios where the bulk state can be a non-Abelian, nonchiral, and gapped quantum spin liquid, or a gapless one. In the former case, we find that the edge states are also gapped. The paper provides a brief review of non-Abelian bosonization and affine current algebras, with the purpose of being self-contained. To illustrate the methods in a warm-up exercise, we recover the tenfold way classification of two-dimensional noninteracting topological insulators using the Majorana representation that naturally arises within non-Abelian bosonization. Within this scheme, the classification reduces to counting the number of null singular values of a mass matrix, with gapless edge modes present when left and right null eigenvectors exist.
出版者： United States: American Physical Society (APS)
出版日期： 2016-05-13
出處： Physical Review B, 2016-05, Vol.93 (20), Article 205123
識別號： ISSN: 2469-9950
識別號： ISSN: 2469-9977
識別號： ISSN: 2469-9969
識別號： EISSN: 2469-9969
識別號： DOI: 10.1103/physrevb.93.205123 |
| 顯示於類別: | [物理學系] 期刊論文
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