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Exact equilibrium results in the interacting resonant level model

Camacho, Gonzalo, Schmitteckert, Peter, Carr, Sam T. (2019) Exact equilibrium results in the interacting resonant level model. Physical Review B: Condensed Matter and Materials Physics, 99 (8). 085122. ISSN 0163-1829. (doi:10.1103/PhysRevB.99.085122)

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https://doi.org/10.1103/PhysRevB.99.085122

Abstract

We present exact results for the susceptibility of the interacting resonant level model in equilibrium. Detailed simulations using both the numerical renormalization group and density matrix renormalization group were performed in order to compare with closed analytical expressions. By first bosonizing the model and then utilizing the integrability of the resulting boundary sine-Gordon model, one finds an analytic expression for the relevant energy scale T_K with excellent agreement to the numerical results. On the other hand, direct application of the Bethe ansatz of the interacting resonant level mode does not correctly reproduce T_K —however, if the bare parameters in the model are renormalized, then quantities obtained via the direct Bethe ansatz such as the occupation of the resonant level as a function of the local chemical potential do match the numerical results. The case of one lead is studied in the most detail, with many results also extending to multiple leads, although there still remain open questions in this case.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevB.99.085122
Uncontrolled keywords: Physics of Quantum Materials
Divisions: Faculties > Sciences > School of Physical Sciences
Depositing User: Sam Carr
Date Deposited: 15 Feb 2019 19:35 UTC
Last Modified: 17 Jul 2019 09:42 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/72585 (The current URI for this page, for reference purposes)
Carr, Sam T.: https://orcid.org/0000-0001-9995-4944
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