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

Daniel P. Arovas, Yuli Lyanda-Geller

cond-mat.mes-hallarXiv:cond-mat/9703007

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.

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