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## Phase-coherent electron transport in asymmetric crosslike Andreev interferometers

We present a detailed theoretical description of quantum coherent electron transport in voltage-biased

crosslike 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 nonvanishing Aharonov-Bohm-like contribution to the current IS 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 2π-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.