Hentschel, Martina and Schomerus, Henning and Frustaglia, Diego and Richter, Klaus (2004) Aharonov-Bohm physics with spin. I. geometric phases in one-dimensional ballistic rings. Physical review B, 69 (15). p. 155326. ISSN 1550-235X
Full text not available from this repository.Abstract
We analytically calculate the spin-dependent electronic conductance through a one-dimensional ballistic ring in the presence of an inhomogeneous magnetic field and identify signatures of geometric and Berry phases in the general nonadiabatic situation. For an in-plane magnetic field, we rigorously prove the spin-flip effect presented by Frustaglia et al. [Phys. Rev. Lett. 87, 256602 (2001)], which allows us to control and switch the polarization of outgoing electrons by means of an Aharonov-Bohm flux, and derive analytical expressions for the energy-averaged magnetoconductance. Our results support numerical calculations for two-dimensional ballistic rings presented in the second paper [Frustaglia et al., following paper, Phys. Rev. B 69, 155327 (2004)] of this series.