Abstract
The quantum phase and persistent magnetic moment current exist in a $s=1/2$ mesoscopic ferromagnetic ring via the Aharonov-Casher effect at finite temperature because of the excitation and propagation of spin waves. We regarded the spin wave as a kind of boson propagating on a $s=1/2$ ferromagnetic background with a magnetic moment $\mathbf{\ensuremath{\mu}}=\ensuremath{-}\ensuremath{\mu}{\mathbf{e}}_{z}.$ The persistent magnetic moment current is in direct proportion to ${k}_{B}T$ at low temperature.
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