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Thermodynamic scaling theory for impurities in metals

Krishnamurthy, HR and Jayaprakash, C (1984) Thermodynamic scaling theory for impurities in metals. In: Physical Review B, 30 (5). pp. 2806-2827.

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Official URL: http://prola.aps.org/abstract/PRB/v30/i5/p2806_1

Abstract

A perturbative scaling theory for calculating static thermodynamic properties of arbitrary local impurity degrees of freedom interacting with the conduction electrons of a metal is presented. The basic features are developments of the ideas of Anderson and Wilson, but the precise formulation is new and is capable of taking into account band-edge effects which cannot be neglected in certain problems. Recursion relations are derived for arbitrary interaction Hamiltonians up to third order in perturbation theory. A generalized impurity Hamiltonian is defined and its scaling equations are derived up to third order. The strategy of using such perturbative scaling equations is delineated and the renormalization-group aspects are discussed. The method is illustrated by applying it to the single-impurity Kondo problem whose static properties are well understood.

Item Type: Journal Article
Additional Information: Copyright for this artcle belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 02 Feb 2010 07:27
Last Modified: 19 Sep 2010 05:38
URI: http://eprints.iisc.ernet.in/id/eprint/21675

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