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Universal spectral statistics of Andreev billiards: semiclassical approach
Sven Gnutzmann, Burkhard Seif, Felix von Oppen +1
The classification of universality classes of random-matrix theory has recently been extended beyond the Wigner-Dyson ensembles. Several of the novel ensembles can be discussed nat…
Chiral Metal as a Ferromagnetic Super Spin Chain
Leon Balents, Matthew P. A. Fisher, Martin R. Zirnbauer
The electrons on the surface of a disordered multi-layer integer quantum Hall system constitute an unusual chiral metal with ballistic motion transverse to the field, and diffusive…
Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
Alexander Altland, Martin R. Zirnbauer
Normal-conducting mesoscopic systems in contact with a superconductor are classified by the symmetry operations of time reversal and rotation of the electron's spin. Four symmetry…
Random Matrix Theory of a Chaotic Andreev Quantum Dot
Alexander Altland, Martin R. Zirnbauer
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, whil…
Single-particle Green's functions of the Calogero-Sutherland model at couplings λ= 1/2, 1, and 2
M. R. Zirnbauer, F. D. M. Haldane
At coupling strengths lambda = 1/2, 1, or 2, the Calogero-Sutherland model (CSM) is related to Brownian motion in a Wigner-Dyson random matrix ensemble with orthogonal, unitary, or…
Conductance Fluctuations of Disordered Mesoscopic Devices with Many Weakly-Coupled Probes
Martin R. Zirnbauer
The conductance coefficients of disordered mesoscopic devices with probes are investigated within the noninteracting electron approximation at zero temperature. The probes are…