Justification of the effective fractional Coulomb energy and the extended Brinkman-Rice picture

Details Justification of the effective fractional Coulomb energy and the extended Brinkman-Rice picture Justification of the effective fractional Coulomb energy and the extended Brinkman-Rice picture

2001-04-03

arxiv.org/abs/cond-mat/0104055v4

"New Trends in Superconductivity", NATO Science Series Vol II/67, p. 137 (Kluwer, 2002)

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex, 5 Pages, 1 figure.eps

Scientific paper

In order to calculate the effective mass of quasiparticles for a strongly correlated metallic system in which the number of carriers, n, is less than that of atoms (or lattices), l, the metallic system is averaged by one effective charge per atom over all atomc sites. The effective charge of carriers, =(n/l)e={rho}e, and the on-site Coulomb repulsion, U={rho}^2={rho}^2kU_c, are defined and are justified by means of measurement. {rho} is band filling and k is the correlation strength. The effective mass, m^*/m=1/(1-k^2{rho}^4), calculated by the Gutzwiller variational theory, is regarded as the average of the true effective mass in the Brinkman-Rice (BR) picture and is the effect of measurement. The true effective mass has the same value irrespective of {rho}, and is not measured experimentally. The true correlation strength of the BR picture is evaluated as 0.90

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