The spontaneous Aharonov-Casher effect associated with partially spin-polarized states in one-dimensional mesoscopic rings

The spontaneous Aharonov-Casher (AC) effect associated with partially spin-polarized states in one-dimensional mesoscopic rings is investigated for the first time. The results obtained seem to be novel and interesting. Particularly, for an even number of electrons, the spontaneously introduced AC flux does not depend on the polarization parameter N_p; while for an odd number of electrons, it increases with a specific set of N_p and decreases with the other set. Moreover, the polarization magnetic field is calculated analytically.