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Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires

Carlos Payá, Ramón Aguado, Pablo San-Jose, Elsa Prada

DOI 10.1103/8mzs-dx7h · Physical Review B

T1

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Abstract

We perform microscopic numerical simulations of the Josephson effect through short junctions between two full-shell hybrid nanowires, comprised of a semiconductor core fully wrapped by a thin superconductor shell, both in the trivial and topological regimes. We explore the behavior of the current-phase relation and the critical current Ic as a function of a threading flux for different models of the semiconductor core and different transparencies of the weak link. We find that Ic is modulated with flux due to the Little-Parks (LP) effect and displays a characteristic skewness towards large fluxes within nonzero LP lobes, which is inherited from the skewness of a peculiar kind of subgap states known as Caroli-de Gennes-Matricon (CdGM) analogs. The appearance of Majorana zero modes at the junction in the topological phase is revealed in Ic as fin-shaped peaks that stand out from the background at low junction transparencies. The competition between CdGMs of opposite electron- and holelike character produces steps and dips in Ic. A rich phenomenology results, which includes 0-, π-, and ϕ-junction behaviors depending on the charge distribution across the wire core and the junction transparency.

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FormulaReported Tc (K)Pressure (GPa)Type
Al/InAs

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—Pressure not reportedunknown

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