Quantum Billiards with Surface Scattering: Ballistic Sigma-Model Approach

Ya. M. Blanter; A. D. Mirlin; B. A. Muzykantskii

doi:10.1103/PhysRevLett.80.4161

Quantum Billiards with Surface Scattering: Ballistic Sigma-Model Approach

Ya. M. Blanter, A. D. Mirlin, and B. A. Muzykantskii

Phys. Rev. Lett. 80, 4161 – Published 11 May 1998

Abstract

Statistical properties of energy levels and eigenfunctions in a ballistic system with diffusive surface scattering are investigated. The two-level correlation function, the level number variance, the correlation function of wave function intensities, and the inverse participation ratio are calculated.

Received 23 December 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.4161

Authors & Affiliations

Ya. M. Blanter¹, A. D. Mirlin^2,*, and B. A. Muzykantskii³

¹Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland
²Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
³Department of Physics, University of Warwick, CV4 7AL Coventry, United Kingdom