1995/09/27 by A. M. S. Macêdo, A. M. S. Macedo · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Random Matrices and Applications #cond-mat
paper · pdf · doi:10.1103/physrevb.53.8411
19 pages, written in RevTeX
arxiv created 1995/09/27 · openalex publication_date 1996/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A Brownian-motion model is proposed to study parametric correlations in the transmission eigenvalues of open ballistic cavities. For systems with unitary symmetry, we find interesting universal properties when the eigenvalues are rescaled at the hard edge of the spectrum. For systems with orthogonal, unitary, and symplectic symmetries a formula for the power spectrum of the fluctuations of transport observables as a response to an external adiabatic perturbation is derived. Our formula correctly recovers the Lorentzian-squared behavior obtained, for unitary systems, from semiclassical approaches for the correlation function of conductance fluctuations. \textcopyright 1996 The American Physical Society.