Signatures of topological ground state degeneracy in Majorana islands

Autor: Jukka I. Väyrynen, Adrian E. Feiguin, Roman M. Lutchyn
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physical Review Research, Vol 2, Iss 4, p 043228 (2020)
Druh dokumentu: article
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.2.043228
Popis: We consider a mesoscopic superconducting island hosting multiple pairs of Majorana zero-energy modes. The Majorana island consists of multiple p-wave wires connected together by a trivial (s-wave) superconducting backbone and is characterized by an overall charging energy E_{C}; the wires are coupled to normal-metal leads via tunnel junctions. We calculate the average charge on the island as well as nonlocal conductance matrix as a function of a p-wave pairing gap Δ_{P}, charging energy E_{C}, and dimensionless junction conductances g_{i}. We find that the presence of a topological ground-state degeneracy in the island dramatically enhances charge fluctuations and leads to the suppression of Coulomb blockade effects. In contrast with conventional (s-wave) mesoscopic superconducting islands, we find that Coulomb blockade oscillations of conductance are suppressed in Majorana islands regardless of the ratio E_{C}/Δ_{P} or the magnitude of the conductances g_{i}. We also discuss our findings in relation to the so-called topological Kondo effect.
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