Universalities of weak localization
نویسنده
چکیده
Since the discovery of weak localization twenty years ago [1] much attention has been given to its scaling properties in low dimensions in infinite homogenious media. There is also weak localization correction to transort properties of a mesoscopic conductor that is shorter than decoherence length. Such a conductor is neither scalable nor homogeneous, so that one generally expects the WLC to depend on details of sample structure. Still, the WLC exhibits some universal features. We concentrate in this work on evaluation of WLC to transport properties of twoterminal mesoscopic diffusive conductor. We employ here a new technique that allows to calculate not only the current in the conductor but also all noise characteristics of the current, so-called full counting statistics.[2] Beside the fact that this method provides more information about transport properties of the conductor than the traditional Green’s function [1] and RMT [3] methods, it gives compact and clear general expressions that are valid for inhomogeneous conductors. Due to the lack of space, it is impossible to review all the results obtained. We concentrate on the most important ones that concern the universal features of WLC: its form for quasi-one-dimensional conductors, general formula for the current correction and its possible dependence on momentum relaxation time, universal Cooperon mode. We disregard influence of magnetic field and spin-orbit interaction of the WLC. The method in use presents an extension of Keldysh Green function (KGF) method (see [4] for review) and is based on the following trick: let us define a one-electron Green function by means of
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