Reversal of particle-hole scattering-rate asymmetry in the Anderson impurity model

We study the particle-hole asymmetry of the scattering rate in strongly correlated electron systems by examining the cubic ω3 and ωT2 terms in the imaginary part of the self-energy of the Anderson impurity model. We show that the sign is opposite in the weak-coupling and strong-coupling limits, expl...

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Bibliographic Details
Published in:Physical review. B 2018-10, Vol.98 (16), p.161121(R), Article 161121
Main Authors: Žitko, R., Krishnamurthy, H. R., Shastry, B. Sriram
Format: Article
Language:English
Subjects:
Asymmetry
Coupling
Crossovers
Doping
Impurities
Scattering
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Summary:We study the particle-hole asymmetry of the scattering rate in strongly correlated electron systems by examining the cubic ω3 and ωT2 terms in the imaginary part of the self-energy of the Anderson impurity model. We show that the sign is opposite in the weak-coupling and strong-coupling limits, explaining the differences found in theoretical approaches taking the respective limits as the starting points. The sign change in fact precisely delineates the crossover between the weak- and strong-correlation regimes of the model. For weak interaction U the sign reversal occurs for small values of the doping δ=1−n, while for interaction of order U≈2Γ, Γ being the hybridization strength, the crossover curve rapidly shifts to the large-doping range. This curve, based on the impurity dynamics, is genuinely different from other crossover curves defined through impurity thermodynamic and static properties.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.161121