Physics – Condensed Matter – Superconductivity
Scientific paper
2008-07-17
Annals of Physics 324, 523 (2009).
Physics
Condensed Matter
Superconductivity
91 pages, 18 figures, single column format
Scientific paper
10.1016/j.aop.2008.08.003
We present a detailed description of a zero temperature phase transition between superconducting and diffusive metallic states in very thin wires due to a Cooper pair breaking mechanism. The dissipative critical theory contains current reducing fluctuations in the guise of both quantum and thermally activated phase slips. A full cross-over phase diagram is computed via an expansion in the inverse number of complex components of the superconducting order parameter (one in the physical case). The fluctuation corrections to the direct current electrical and thermal conductivities are determined, and we find that the electrical conductivity has a non-monotonic temperature dependence in the metallic phase which may be consistent with recent experimental results on ultra-narrow wires. In the quantum critical regime, the ratio of the thermal to electrical conductivity displays a linear temperature dependence and thus the Wiedemann-Franz law is obeyed, with a new universal experimentally verifiable Lorenz number.
Maestro Adrian Del
Rosenow Bernd
Sachdev Subir
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