Topological Majorana and Dirac zero modes in superconducting vortex cores

Details Topological Majorana and Dirac zero modes in superconducting vortex cores Topological Majorana and Dirac zero modes in superconducting vortex cores

2010-01-14

arxiv.org/abs/1001.2571v1

Physics

Condensed Matter

Superconductivity

5 pages, 1 figure

Scientific paper

We provide an argument based on flux insertion to show that certain superconductors with a non-trivial topological invariant have protected zero modes in their vortex cores. This argument has the flavor of a two dimensional index theorem and applies to disordered systems as well. It also provides a new way of understanding the zero modes in the vortex cores of a spinless $p_{x} + i p_{y}$ superconductor. Applying this approach to superconductors with and without time reversal and spin rotational symmetry, we predict the necessary and sufficient conditions for protected zero modes to exist in their vortices.

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