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arXiv 2000-12-12 0 views

A Few Properties of Disordered Conductors

Montambaux, Gilles

Original · EN

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 directly written in term of M.

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