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Aharonov-Bohm Physics with Spin I: Geometric Phases in One-dimensional Ballistic Rings

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, 155326-1-155326-14.

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Other URL: http://link.aps.org/abstract/PRB/v69/e155326

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. ${\bf 87}$ , 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 ${\bf 69}$ , 155327 (2004)] of this series.