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Magnetic flux periodicity in second order topological superconductors

Suman Jyoti De, Udit Khanna, Sumathi Rao

DOI 10.1103/PhysRevB.101.125429 · Physical Review B

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Abstract

The magnetic flux periodicity of hc2e is a well-known manifestation of Cooper pairing in typical s-wave superconductors. In this paper we theoretically show that the flux periodicity of a two-dimensional second order topological superconductor, which features zero-energy Majorana modes localized at the corners of the sample, is hce instead. We further show that the periodicity changes back to hc2e at the transition to a topologically trivial superconductor, where the Majorana modes hybridize with the bulk states, demonstrating that the doubling of periodicity is a manifestation of the nontrivial topology of the state.

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