1211.7241 (Y. X. Zhao et al.)

Topological Classification of Fermi Surfaces    [PDF]

Y. X. Zhao, Z. D. Wang

In the same spirit of a classification scenario for Hamiltonian used in the random matrix theory, a kind of topological classification of Fermi surfaces is put forward in terms of topological charges. The topological charge of a Fermi surface depends on its codimension and the class that its Hamiltonian belongs to. It is revealed that there exist six types of topological charges that form two groups with respect to the chiral symmetry, with each group consisting of one original charge and two descendants. Moreover, an intrinsic relationship between the symmetry class index and the codimension number is explicitly disclosed, based on which we are able to realize any type of Fermi surface with a high codimension by reducing its codimension to an experimentally accessible one.

View original: http://arxiv.org/abs/1211.7241