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Aharonov-Bohm physics with spin. I. geometric phases in one-dimensional ballistic rings.

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<mark>Journal publication date</mark>27/04/2004
<mark>Journal</mark>Physical review B
Issue number15
Volume69
Pages (from-to)155326
Publication StatusPublished
<mark>Original language</mark>English

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.