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

Daniel P. Arovas·Yuli Lyanda-Geller
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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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Daniel P. Arovas, Yuli Lyanda-Geller. 1997-03-25. Non-Abelian Geometric Phases and Conductance of Spin-3/2 Holes. https://doi.org/10.1103/physrevb.57.12302

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