Appearance of Topological Phases in Superconducting Nanocircuits

Details Appearance of Topological Phases in Superconducting Nanocircuits Appearance of Topological Phases in Superconducting Nanocircuits

2004-08-02

arxiv.org/abs/cond-mat/0408035v2

Phys. Rev. Lett. 94, 067004 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures, RevTeX4, References added, minor changes

Scientific paper

10.1103/PhysRevLett.94.067004

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.

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