Random Matrix Theory of a Chaotic Andreev Quantum Dot

Details Random Matrix Theory of a Chaotic Andreev Quantum Dot Random Matrix Theory of a Chaotic Andreev Quantum Dot

1995-08-08

arxiv.org/abs/cond-mat/9508026v2

Phys. Rev. Lett. 76, 3420 (1996)

Physics

Condensed Matter

minor changes, 4 REVTeX pages

Scientific paper

10.1103/PhysRevLett.76.3420

A new universality class distinct from the standard Wigner-Dyson ones is identified. This class is realized by putting a metallic quantum dot in contact with a superconductor, while applying a magnetic field so as to make the pairing field effectively vanish on average. A random-matrix description of the spectral and transport properties of such a quantum dot is proposed. The weak-localization correction to the tunnel conductance is nonzero and results from the depletion of the density of states due to the coupling with the superconductor. Semiclassically, the depletion is caused by a a mode of phase-coherent long-range propagation of electrons and holes.

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