Ballistic Quantum Transport: Effect of Geometrical Phases

Details Ballistic Quantum Transport: Effect of Geometrical Phases Ballistic Quantum Transport: Effect of Geometrical Phases

2000-11-09

arxiv.org/abs/cond-mat/0011161v1

Found. Phys. 31, 399 (2001).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 6 figures. Accepted for publication in Foundations of Physics

Scientific paper

We study the influence of nonuniform magnetic fields on the magneto conductance of mesoscopic microstructures. We show that the coupling of the electron spin to the inhomogenous field gives rise to effects of the Berry phase on ballistic quantum transport and discuss adiabaticity conditions required to observe such effects. We present numerical results for different ring geometries showing a splitting of Aharonov-Bohm conductance peaks for single rings and corresponding signatures of the geometrical phase in weak localization. The latter features can be qualitatively explained in a semiclassical approach to quantum transport.

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