TY - JOUR
T1 - Scaling theory of the asymmetric Anderson model
AU - Haldane, F. D.M.
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1978
Y1 - 1978
N2 - 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).
AB - 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).
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U2 - 10.1103/PhysRevLett.40.416
DO - 10.1103/PhysRevLett.40.416
M3 - Article
AN - SCOPUS:4244108679
SN - 0031-9007
VL - 40
SP - 416
EP - 419
JO - Physical review letters
JF - Physical review letters
IS - 6
ER -