The transport properties of Floquet topological superconductors at the transition from the topological phase to the Anderson localized phase

Abstract

The Floquet topological superconducting state is a nonequilibrium time-periodic state hosting Majorana fermions. We study its transport properties by using the Kitaev model with time-periodic incommensurate potentials, which experiences phase transition from the Floquet topological superconducting phase to the Anderson localized phase with increasing driving strength. We study both the real time dynamics of the current and the non-analytic behavior of the tunneling conductance at the transition. Especially, we find that the tunneling conductance changes continuously at the transition, being a finite value in the presence of Floquet Majorana fermions, but dropping to zero as the Majorana fermions vanish. For a special choice of parameters, the Majorana fermions revive at larger driving strength, accompanied by the revival of conductances.

arXiv comment8 pages, 5 figures

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Cited by in corpus (17)

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• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Photon Inhibited Topological Transport in Quantum Well Heterostructures
• Edge State Transport in Floquet Topological Insulators
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• Generating quantum multi-criticality in topological insulators by periodic driving
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• Dirac cones, Floquet side bands and theory of time resolved ARPES
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• Edge mode manipulation through commensurate multifrequency driving
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• Phonon-Assisted Andreev Reflection at Majorana Zero Mode
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light