Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-02-25
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Submitted to Phys. Rev. Lett
Scientific paper
We investigate Faraday's law of induction manifested in the quantum state of Aharonov-Bohm loops. In particular, we propose a flux-switching experiment for a double-dot AB ring to verify the phase shift induced by Faraday's law. We show that the induced {\em Faraday phase} is geometric and nontopological. Our study demonstrates that the relation between the local phases of a ring at different fluxes is not arbitrary but is instead determined by Faraday's inductive law, which is in strong contrast to the arbitrary local phase of an Aharonov-Bohm ring for a given flux.
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