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arxiv: 1008.2026 · v1 · pith:7PZ6ITDPnew · submitted 2010-08-12 · ❄️ cond-mat.mes-hall · cond-mat.supr-con

Topological insulators and superconductors

Xiao-Liang Qi , Shou-Cheng Zhang This is my paper
classification ❄️ cond-mat.mes-hall cond-mat.supr-con
keywords topologicalinsulatorstheorystatessuperconductorsbulkfullgapless
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Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time-reversal symmetry. These topological materials have been theoretically predicted and experimentally observed in a variety of systems, including HgTe quantum wells, BiSb alloys, and Bi$_2$Te$_3$ and Bi$_2$Se$_3$ crystals. We review theoretical models, materials properties and experimental results on two-dimensional and three-dimensional topological insulators, and discuss both the topological band theory and the topological field theory. Topological superconductors have a full pairing gap in the bulk and gapless surface states consisting of Majorana fermions. We review the theory of topological superconductors in close analogy to the theory of topological insulators.

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