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Appearance of Topological Phases in Superconducting Nanocircuits

By Mateusz Cholascinski

Abstract

We construct non-Abelian geometric transformations in superconducting nanocircuits, which resemble in properties the Aharonov-Bohm phase for an electron transported around a magnetic flux line. The effective magnetic fields can be strongly localized, and the path is traversed in the region where the energy separation between the states involved is at maximum, so that the adiabaticity condition is weakened. In particular, we present a scheme of topological charge pumping.Comment: 4 pages, 4 figures, RevTeX4, References added, minor change

Topics: Condensed Matter - Mesoscale and Nanoscale Physics, Quantum Physics
Publisher: 'American Physical Society (APS)'
Year: 2005
DOI identifier: 10.1103/PhysRevLett.94.067004
OAI identifier: oai:arXiv.org:cond-mat/0408035

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