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Sawtooth current-phase relation of a superconducting trilayer system described using Ohta’s formalism

R. De Luca, F. Romeo

DOI 10.1103/PhysRevB.79.094516 · Physical Review B

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Abstract

The Josephson equations for a trilayer superconducting system are derived by means of Ohta’s semiclassical approach. Being the middle layer not accessible by the external biasing circuit, a purely quantum-mechanical analysis is performed in this superconducting island. It is found as a strict conventional voltage-phase dependence in the overall system, while an additional half harmonic term appears in the current-phase relation. This extraterm gives a sawtooth behavior in the effective current-phase relation.

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