In hopping-regime Aharonov-Bohm interferometers, combined Rashba and Zeeman interactions produce a sin(Φ) magnetoconductance term proportional to the Zeeman field, destroying flux periodicity without violating Onsager symmetry.
Vanderbilt, Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators , Cambridge University Press (2018)
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Spin geometric-phases in hopping magnetoconductance
In hopping-regime Aharonov-Bohm interferometers, combined Rashba and Zeeman interactions produce a sin(Φ) magnetoconductance term proportional to the Zeeman field, destroying flux periodicity without violating Onsager symmetry.