Classical Spins in Generic Topological Insulators and Topological Superconductors

Details Classical Spins in Generic Topological Insulators and Topological Superconductors Classical Spins in Generic Topological Insulators and Topological Superconductors

2011-11-24

arxiv.org/abs/1111.5674v1

Physics

Condensed Matter

Superconductivity

6 pages, 4 figures

Scientific paper

The study of classical spins in topological insulators [Phys. Rev. B {\bf 80}, 115216 (2009)] is generalized to topological superconductors. Based on the characteristic features of the so-called $F$-function, Bogoliubov-de Gennes Hamiltonian for superconductors is classified to positive, negative, and zero "gap" categories for topologically trivial and nontrivial phases of a topological superconductor as well as a BCS superconductor respectively. It is found that the $F$-function determines directly the presence or absence of localized excited states, induced by bulk classical spins and nonmagnetic impurities, in superconducting gap and their persistence with respect to impurity strength. Our results provide an alternative way to identify topologically insulating and superconducting phases in experiments while without resorting to the surface properties.

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