Topological Majorana and Dirac Zero Modes in Superconducting Vortex Cores

Rahul Roy

doi:10.1103/PhysRevLett.105.186401

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Topological Majorana and Dirac Zero Modes in Superconducting Vortex Cores

Rahul Roy

DOI 10.1103/PhysRevLett.105.186401 · Physical Review Letters

T1

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Abstract

We provide an argument based on flux insertion to show that certain superconductors with a nontrivial 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 px+ipy 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.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
Sr2RuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown