Non-Abelian Geometric Phases and Conductance of Spin-3/2 Holes

Abstract

Angular momentum $J=3/2$ holes in semiconductor heterostructures are showed to accumulate nonabelian geometric phases as a consequence of their motion. We provide a general framework for analyzing such a system and compute conductance oscillations for a simple ring geometry. We also analyze a figure-8 geometry which captures intrinsically nonabelian interference effects.

4 pages, 3 figures (encapsulated PostScript) Replaced fig. 1 and fig. 3

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