Spin geometric phases in hopping magnetoconductance

The paper examines the possibility to disentangle the Aharonov-Bohm, Aharonov-Casher, and Aharonov-Anandan (Berry) geometric phases by interferometry experiments on spin-orbit coupled mesoscopic junctions. It is shown that the spin-orbit interaction in conjunction with the Zeeman field change the periodic Aharonov-Bohm oscillations in the magnetoconductance as a function of the magnetic field to be non-periodic, rebuking the analyses based on phase shifts.