Critical current of a superconducting wire via gauge/gravity duality

Details Critical current of a superconducting wire via gauge/gravity duality Critical current of a superconducting wire via gauge/gravity duality

2012-01-24

arxiv.org/abs/1201.5103v3

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 1 figure; v2: minor corrections; v3: corrected discussion of the initial-winding case

Scientific paper

We describe application of the gauge/gravity to study of depairing current in thin superconducting wires. The large number N of colors of the gauge theory is identified with the number of filled transverse channels in the wire. On the gravity side, the physics is described by a system of D3 and D5 branes intersecting over a line. We consider the ground state of the system at fixed electric current and find that there is a continuous phase transition at a critical current, in the universality class of the dissipative XY model. We discuss relation of our results to recent experiments on statistics of the switching current in nanowires.

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