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Scaling of subgap excitations in a superconductor-semiconductor nanowire quantum dot

Eduardo J. H. Lee, Xiaocheng Jiang, Rok Žitko, Ramón Aguado, Charles M. Lieber, Silvano De Franceschi

DOI 10.1103/PhysRevB.95.180502 · Physical Review B

T1

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Abstract

A quantum dot coupled to a superconducting contact provides a tunable artificial analog of a magnetic atom in a superconductor, a paradigmatic quantum impurity problem. We realize such a system with an InAs semiconductor nanowire contacted by an Al-based superconducting electrode. We use an additional normal-type contact as a weakly coupled tunnel probe to perform tunneling spectroscopy measurements of the elementary subgap excitations, known as Andreev bound states or Yu-Shiba-Rusinov states. We demonstrate that the energy of these states ζ scales with the ratio between the Kondo temperature TK and the superconducting gap Δ. ζ vanishes for TK/Δ≈0.6, denoting a quantum phase transition between the spin singlet and doublet ground states. By further leveraging the gate control over the quantum dot parameters, we determine the singlet-doublet phase boundary in the stability diagram of the system. Our experimental results show remarkable quantitative agreement with numerical renormalization group calculations.

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FormulaReported Tc (K)Pressure (GPa)Type
Al

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—Pressure not reportedunknown

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