Anomalous Josephson effect in planar noncentrosymmetric superconducting devices

Abstract

In two-dimensional electron systems with broken inversion and time-reversal symmetries, a Josephson junction reveals an anomalous response: the supercurrent is nonzero even at zero phase difference between two superconductors. We consider details of this peculiar phenomenon in the planar double-barrier configurations of hybrid circuits, where the noncentrosymmetric normal region is described in terms of the paradigmatic Rashba model of spin-orbit coupling. We analyze this anomalous Josephson effect by means of both the Ginzburg-Landau formalism and the microscopic Green's functions approach in the clean limit. The magnitude of the critical current is calculated for an arbitrary in-plane magnetic field orientation, and anomalous phase shifts in the Josephson current-phase relation are determined in terms of the parameters of the model in several limiting cases.

Spin-Coherent Phenomena in Semiconductors: Physical Review B special issue in honor of E. I. Rashba [10 pages, 5 figures]

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• Hysteresis and chaos in anomalous Josephson junctions without capacitance
• Anomalous Josephson diode effect in superconducting multilayers
• Josephson Diode Effect from Nonequilibrium Current in a Superconducting Interferometer
• Buzdin, Shapiro and Chimera Steps in ${\phi }_0$ Josephson Junctions. II. Bifurcation, Switching, and Hysteresis
• Originality of resonance and locking phenomena in SFS ${\phi }_0$ Josephson junction