Title: An intrinsic connection between topological stabilities of Fermi surfaces and topological insulators/superconductors
Abstract: An intrinsic connection between the topological stabilities of Fermi surfaces and topological insulators/superconductors is revealed. Based on our rigorous theory for topological stabilities of all types of Fermi surfaces, we strictly derive a quantitative relation between the topological types of Fermi surfaces and topological insulators/superconductors, producing exactly a complete table of topological types for all insulators/superconductors. In particular, we establish a general index theorem relating the topological charge of Fermi surfaces on the natural boundary of a strong topological insulator/superconductor to its bulk topological number. The implications of the general index theorem on the boundary quasi-particles are also addressed briefly.
Publication Year: 2013
Publication Date: 2013-05-06
Language: en
Type: preprint
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