Berry's phase and persistent charge and spin currents in textured mesoscopic rings.

Berry's Phase and Persistent Charge and Spin Currents in Textured Mesoscopic Rings Daniel Loss, ' ' Paul Goldbart, '' ' ' and A. V. Balatsky ' " Department of Physics, University of Illinois at Urbana Ch-ampaign, I I IO West Green Street, Urbana, Illinois 6I80l ' 'Beckman Research Institute, Unt'rersity of Illinois at Urbana Ch-ampaign, I I IO West Green Street, Urbana, Illinois 6I80I "'Materials Research Laboratory, University of Illinois at Urbana Cha-mpaign, I I 10 West Green Street, Urbana, Illinois 6I80I (Received 1 June 1990)

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