Thermodynamic scaling theory for impurities in metals

Krishnamurthy, H. R. ; Jayaprakash, C. (1984) Thermodynamic scaling theory for impurities in metals Physical Review B, 30 (5). pp. 2806-2827. ISSN 0163-1829

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Official URL: http://link.aps.org/doi/10.1103/PhysRevB.30.2806

Related URL: http://dx.doi.org/10.1103/PhysRevB.30.2806

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.

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ID Code:17623
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