1305.1251 (Y. X. Zhao et al.)

An intrinsic connection between topological stabilities of Fermi
surfaces and topological insulators/superconductors    [PDF]

Y. X. Zhao, Z. D. Wang

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.

View original: http://arxiv.org/abs/1305.1251