2000/12/12 by Gilles Montambaux, Montambaux, Gilles
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0012210
12 pages, Invited talk, International Workshop on superconductivity, magnetoresistive materials and correlated quantum systems, Rencontres du Vietnam, Hanoi 1999, p. 207 (Vietnam National University Press)
arxiv created 2000/12/12 · arxiv updated 2009/11/30
In this brief tutorial review, I show how phase coherent properties of disordered conductors can be described in a simple and unified way. These properties include transport properties like weak-localization correction and universal conductance fluctuations, and thermodynamic properties like orbital magnetism and persistent currents. They can be related to the classical return probability for a diffusive particle. For a network with N nodes, the return probability can be related to the determinant of a N × N "connectivity" matrix M so that the magnetization and the transport quantities can be \it directly written in term of det M.