[PDF] Random-matrix modeling of semilinear response, the generalized variable-range hopping picture, and the conductance of mesoscopic rings | Semantic Scholar

Random-matrix modeling of semilinear response, the generalized variable-range hopping picture, and the conductance of mesoscopic rings

@article{Stotland2010RandommatrixMO,
title={Random-matrix modeling of semilinear response, the generalized variable-range hopping picture, and the conductance of mesoscopic rings},
author={A. Stotland and T. Kottos and Doron Cohen},
journal={Physical Review B},
year={2010},
volume={81},
pages={115464}
}

Semi-linear response theory determines the absorption coefficient of a driven system using a resistor network calculation: Each unperturbed energy level of a particle in a vibrating trap, or of an electron in a mesoscopic ring, is regarded as a node ($n$) of the network; The transition rates ($w_{mn}$) between the nodes are regarded as the elements of a random matrix that describes the network. If the size-distribution of the connecting elements is wide (e.g. log-normal-like rather than… CONTINUE READING