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AIP conference proceedings

Non-Fermi-liquid properties of three-impurity Anderson models

Rok Žitko, J. Bonča

Published Jan 1, 2007• 0 citations
Publisher
DOI
10.1063/1.2752007

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A single multichannel quantum impurity model with pure hybridizations between the localized and orbital degenerate conducting electrons is shown to exhibit several interesting impurity properties resembling that of the multichannel Anderson model. Particularly for two special kinds of hybridization parameters the model can be solved exactly by the Bethe ansatz method. In these integrable cases, the competition between the direct and exchange correlated hybridizations can produces either a Fermi-liquid or non-Fermi-liquid behavior at low temperatures.
We investigate a modified Anderson model at the large-N limit, where the Coulomb interaction is replaced by the Sachdev–Ye–Kitaev random interaction. The resistivity of conduction electron ρ c has a minimum value around temperature T*, which is similar to the Kondo system, but the impurity electron’s density of state A d(ω) demonstrates no sharp-peak like the Kondo resonance around the Fermi surface. This provides a counterintuitive example where resistivity minimum exists without Kondo resonance. The impurity electron’s entropy S d and specific heat capacity C v show a crossover from Fermi liquid to a non-Fermi liquid behavior dependent on temperature. The system is a Fermi liquid at T < T*, and becomes a non-Fermi liquid at T > T*, and then becomes a Fermi gas at sufficiently high temperatures T ≫ T*. The non-Fermi liquid at the intermediate-T regime does not occur in the standard Anderson model. We also make a renormalization group analysis, which confirms the crossover from Fermi liquid to the non-Fermi behavior. It is emphasized that the resistivity minimum emerges in our model when the system behaves as a non-Fermi liquid rather than Fermi liquid, which provides an alternative example showing resistivity minimum in condensed matter physics.