The low-energy scale of the periodic Anderson model

Details The low-energy scale of the periodic Anderson model The low-energy scale of the periodic Anderson model

2000-01-25

arxiv.org/abs/cond-mat/0001357v1

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 9 figures, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.12799

Wilson's Numerical Renormalization Group method is used to study the paramagnetic ground state of the periodic Anderson model within the dynamical mean-field approach. For the particle-hole symmetric model, which is a Kondo insulator, we find that the lattice Kondo scale T_0 is strongly enhanced over the impurity scale T_K; T_0/T_K ~ exp(1/3I), where I is the Schrieffer-Wolff exchange coupling. In the metallic regime, where the conduction band filling is reduced from one, we find characteristic signatures of Nozi\`eres exhaustion scenario, including a strongly reduced lattice Kondo scale, a significant suppression of the states available to screen the f-electron moment, and a Kondo resonance with a strongly enhanced height. However, in contrast to the quantitative predictions of Nozi\`eres, we find that the T_0 ~ T_K with a coefficient which depends strongly on conduction band filling.

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