In a Dirac/graphene model the Aharonov-Casher phase is dynamical (time-dependent), while in a Schrodinger 2D electron gas it is geometrical, because a Rashba component normal to k creates an unremovable effective mass.
Experimental Demonstration of the Time Reversal Aharonov-Casher Effect
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Is the Aharonov-Casher phase geometrical or dynamical?
In a Dirac/graphene model the Aharonov-Casher phase is dynamical (time-dependent), while in a Schrodinger 2D electron gas it is geometrical, because a Rashba component normal to k creates an unremovable effective mass.