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Phys. Rev. B 57, 12302–12305 (1998)

Non-Abelian geometric phases and conductance of spin-3/2 holes

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Daniel P. Arovas
Department of Physics, University of California at San Diego, La Jolla, California 92093

Yuli Lyanda-Geller
Department of Physics, Loomis Physics Laboratory and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Received 20 May 1997; revised 17 February 1998; published in the issue dated 15 May 1998

Angular momentum J=3/2 holes in semiconductor heterostructures are shown to accumulate non-Abelian 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-eight geometry that captures intrinsically non-Abelian interference effects.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.57.12302
DOI:
10.1103/PhysRevB.57.12302
PACS:
73.23.-b, 03.65.Bz