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Local density of states of the interacting resonant level model at zero temperature

Camacho, G., Schmitteckert,, P., Carr, Sam T. (2022) Local density of states of the interacting resonant level model at zero temperature. Physical Review B: Condensed Matter and Materials Physics, 105 . Article Number 075116. ISSN 0163-1829. (doi:10.1103/PhysRevB.105.075116) (KAR id:99872)

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The Anderson single impurity model, including its Kondo limit, can be seen as the hydrogen atom for correlated systems. Its most striking feature is the universal scaling of its low-energy properties governed by the appearance of a single emergent scale, the Kondo temperature T_K . In this work, we demonstrate the emergence of a second independent energy scale in a quantum impurity model, the interacting resonant level model, which is equivalent to the anisotropic Kondo model. We study the local density of states at the impurity site in the ground state (zero temperature limit) of the model. We see collapse of data onto universal curves at low energies, however this is only achieved by defining a second low-energy scale with a different power law dependence on model parameters than the Kondo temperature. We provide an exact expression for this second critical exponent. We also report on a splitting of the central resonance as the interaction strength is increased in the absence of any external magnetic field in the model.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevB.105.075116
Uncontrolled keywords: impurity model, strongly correlated system, Kondo model, Quantum Field Theory
Subjects: Q Science > QC Physics
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Funders: University of Kent (
Depositing User: Sam Carr
Date Deposited: 03 Feb 2023 10:40 UTC
Last Modified: 23 May 2023 09:02 UTC
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