Chapter

Suppression of Tunneling of Superconducting Vortices Caused by a Remote Gate: Anderson’s Orthogonality Catastrophe and Localization

K. Michaeli and A.M. Finkel’stein

in Conductor-Insulator Quantum Phase Transitions

Published in print June 2012 | ISBN: 9780199592593
Published online September 2012 | e-ISBN: 9780191741050 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199592593.003.0018
Suppression of Tunneling of Superconducting Vortices Caused by a Remote Gate: Anderson’s Orthogonality Catastrophe and Localization

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The chapter addresses the experimental observation of a strong decrease in the resistance of a superconducting film when a remote unbiased gate was placed above the film. It attributes this effect to the suppression of the vortex tunneling rate caused by the normal electrons inside the gate. The gate and the film are coupled by the magnetic field of the vortices that pierces through the gate. The chapter uses two different approaches to describe the effect of the gate on the vortex tunneling rate: Anderson's orthogonality catastrophe and tunneling with dissipation. The chapter interprets the change in the resistance of the film as a delocalization-localization transition of the vortices induced by the gate. It shows that in this system Anderson's orthogonality catastrophe promotes Anderson's localization.

Keywords: superconducting films; vortices; orthogonality catastrophe; tunnelling; dissipation; localization

Chapter.  8320 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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