Phase-dependent magnetoconductance fluctuations in a chaotic Josephson junction

Details Phase-dependent magnetoconductance fluctuations in a chaotic Josephson junction Phase-dependent magnetoconductance fluctuations in a chaotic Josephson junction

1996-07-15

arxiv.org/abs/cond-mat/9607101v1

Phys. Rev. B 54, R12705 (1996)

Physics

Condensed Matter

4 pages, RevTeX, 3 figures

Scientific paper

10.1103/PhysRevB.54.R12705

Motivated by recent experiments by Den Hartog et al., we present a random-matrix theory for the magnetoconductance fluctuations of a chaotic quantum dot which is coupled by point contacts to two superconductors and one or two normal metals. There are aperiodic conductance fluctuations as a function of the magnetic field through the quantum dot and $2\pi$-periodic fluctuations as a function of the phase difference $\phi$ of the superconductors. If the coupling to the superconductors is weak compared to the coupling to the normal metals, the $\phi$-dependence of the conductance is harmonic, as observed in the experiment. In the opposite regime, the conductance becomes a random $2\pi$-periodic function of $\phi$, in agreement with the theory of Altshuler and Spivak. The theoretical method employs an extension of the circular ensemble which can describe the magnetic field dependence of the scattering matrix.

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