Scaling theory of the asymmetric Anderson model

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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 Δ-1. For -Ed*Δ, there is a local-moment regime with a Kondo temperature TKΔexp(πEd*2Δ).

Original languageEnglish (US)
Pages (from-to)416-419
Number of pages4
JournalPhysical review letters
Volume40
Issue number6
DOIs
StatePublished - Jan 1 1978

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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