Aharonov-Anandan Phase in Classical Pump Current

Pierre-Louis Giscard

Luis J. Boya, José F. Cariñena, José M. Gracia-Bondı́a

Xiao-Chun Gao, Tiezheng Qian

The exact solution for a mesoscopic ring in the presence of a classical, static, inhomogeneous magnetic field is found and used to derive the formulas for persistent currents. From the derivation, we can see the close relation of the Aharonov-Anandan phase to the persistent currents. In the adiabatic limit, our results are shown to be identical with those of Loss et al., who explored the connection between the persistent currents and the Berry phase.

R. M. Herman

Taeseung Choi, Chang‐Mo Ryu, A. M. Jayannavar

We have calculated the persistent spin current of an open ring induced by the Aharonov–Casher phase. For unpolarized electrons there exist no persistent charge currents, but persistent spin currents. We show that, in general, the magnitude of the persistent spin current in a ring depends on the direction of the direct current flow from one reservoir to another. The persistent spin current is modulated by the cosine function of the spin precession angle. The nonadiabatic Aharonov–Casher phase gives anomalous behaviors. The Aharonov–Anandan phase is determined by the solid angle of spin precession. When the nonadiabatic Aharonov–Anandan phase approaches a constant value with the increase of the electric field, the periodic behavior of the spin persistent current occurs in an adiabatic limit. In this limit the periodic behavior of the persistent spin current could be understood by the effective spin-dependent Aharonov–Bohm flux.

Donald H. Kobe