Aharonov-Bohm and Aharonov-Casher effects for local and nonlocal Cooper pairs

Domaszewski, Damian; Busz, Piotr; López, Rosa; Žitko, Rok; Lee, Minchul; Martinek, Jan
Physical Review B 97, 214506 (2018)

We study combined interference effects due to the Aharonov-Bohm (AB) and Aharonov-Casher (AC) phases in a Josephson supercurrent of local and nonlocal (split) Cooper pairs. We analyze a junction between two superconductors interconnected through a normal-state nanostructure with either (i) a ring, where single-electron interference is possible, or (ii) two parallel nanowires, where the single-electron interference can be absent, but the cross Andreev reflection can occur. In the low-transmission regime in both geometries the AB and AC effects can be related to only local or nonlocal Cooper pair transport, respectively.

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