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Pair correlations of quantum chaotic maps from supersymmetry
Martin R. Zirnbauer
A conjecture due to Bohigas, Giannoni and Schmit (BGS), stating that the energy level correlations of quantum chaotic systems generically obey the laws of random matrix theory, is…
The color-flavor transformation and a new approach to quantum chaotic maps
Martin R. Zirnbauer
The color-flavor transformation is a mathematical result that has applications to problems as diverse as lattice gauge theory, random network models, and dynamical systems. Several…
Point-Contact Conductances at the Quantum Hall Transition
Martin Janssen, Marcus Metzler, Martin R. Zirnbauer
On the basis of the Chalker-Coddington network model, a numerical and analytical study is made of the statistics of point-contact conductances for systems in the integer quantum Ha…
Riemannian symmetric superspaces and their origin in random matrix theory
Martin R. Zirnbauer
Gaussian random matrix ensembles defined over the tangent spaces of the large families of Cartan's symmetric spaces are considered. Such ensembles play a central role in mesoscopic…
Weak localization of disordered quasiparticles in the mixed superconducting state
R. Bundschuh, C. Cassanello, D. Serban +1
Starting from a random matrix model, we construct the low-energy effective field theory for the noninteracting gas of quasiparticles of a disordered superconductor in the mixed sta…
Localization of quasiparticles in a disordered vortex
R. Bundschuh, C. Cassanello, D. Serban +1
We study the diffusive motion of low-energy normal quasiparticles along the core of a single vortex in a dirty, type-II, s-wave superconductor. The physics of this system is argued…