Phase coherent electron transport in asymmetric cross-like Andreev interferometers

Abstract

We present a detailed theoretical description of quantum coherent electron transport in voltage-biased cross-like Andreev interferometers. Making use of the charge conjugation symmetry encoded in the quasiclassical formalism, we elucidate a crucial role played by geometric and electron-hole asymmetries in these structures. We argue that a non-vanishing Aharonov-Bohm-like contribution to the current $I_S$ flowing in the superconducting contour may develop only in geometrically asymmetric interferometers making their behavior qualitatively different from that of symmetric devices. The current $I_N$ in the normal contour -- along with $I_S$ -- is found to be sensitive to phase-coherent effects thereby also acquiring a $2\pi$-periodic dependence on the Josephson phase. In asymmetric structures this current develops an odd-in-phase contribution originating from electron-hole asymmetry. We demonstrate that both phase dependent currents $I_S$ and $I_N$ can be controlled and manipulated by tuning the applied voltage, temperature and system topology, thus rendering Andreev interferometers particularly important for future applications in modern electronics.

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• Ballistic Andreev interferometers
• Josephson effect in superconductor-normal dot-superconductor junctions driven out of equilibrium by quasiparticle injection
• Signatures of Long-Range Spin-Triplet Component in Andreev Interferometer
• Nonequilibrium Andreev resonances in ballistic graphene Andreev interferometers
• Anomalous Andreev interferometer: Study of an anomalous Josephson junction coupled to a normal wire
• Glueballs in Radiative $J/\psi$ Decays
• Revisiting the adiabatic limit in ballistic multiterminal Josephson junctions