Periodic table for topological insulators and superconductors
Jonney78最棒 添加于 2012-9-17 13:54
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Kitaev A 摘 要
Gapped phases of noninteracting fermions, with and without charge conservation and time-reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension determines a general universality class, which corresponds to one of the 2 types of complex and 8 types of real Clifford algebras. The phases within a given class are further characterized by a topological invariant, an element of some Abelian group that can be 0, Z, or Z_2. The interface between two infinite phases with different topological numbers must carry some gapless mode. Topological properties of finite systems are described in terms of K-homology. This classification is robust with respect to disorder, provided electron states near the Fermi energy are absent or localized. In some cases (e.g., integer quantum Hall systems) the K-theoretic classification is stable to interactions, but a counterexample is also given.-
详细资料
- 关键词: cond-mat.mes-hall; cond-mat.supr-con; hep-th; math-ph; math.MP
- 文献种类:手稿
- 期卷页: 2009年
- 日期: 2009-1-20
- 发布方式: arXiv e-prints
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