Scaling Theory of the Asymmetric Anderson Model

F. D. M. Haldane
Phys. Rev. Lett. 40, 416 – Published 6 February 1978; Erratum Phys. Rev. Lett. 40, 911 (1978)
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Abstract

A scaling theory is used to show that for temperatures TU, the properties of the asymmetric Anderson model (U|Ed|, Δ) are universal functions of the scaling invariants Δ and Ed*=Ed+(Δπ)ln(W0Δ), where W0 is the conduction electron bandwidth or U, whichever is smaller. Crossovers between various regimes of simple behavior as the temperature changes are described. |Ed*|Δ is identified as the criterion for a "mixed-valence" ground state, where the susceptibility Δ1. For Ed*Δ, there is a local-moment regime with a Kondo temperature TKΔexp(πEd*2Δ).

  • Received 9 September 1977

DOI:https://doi.org/10.1103/PhysRevLett.40.416

©1978 American Physical Society

Erratum

Scaling Theory of the Asymmetric Anderson Model.

F. D. M. Haldane
Phys. Rev. Lett. 40, 911 (1978)

Authors & Affiliations

F. D. M. Haldane*

  • Bell Laboratories, Murray Hill, New Jersey 07974, and Physics Department, Princeton University, Princeton, New Jersey 08540

  • *Current address: Institut Laue-Langevin, B.P. 156X, 38042 Grenoble, France.

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Issue

Vol. 40, Iss. 6 — 6 February 1978

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