Kondo effect in a PT-symmetric non-Hermitian Hamiltonian

José A. S. Lourenço, Ronivon L. Eneias, and Rodrigo G. Pereira
Phys. Rev. B 98, 085126 – Published 15 August 2018

Abstract

The combination of non-Hermitian physics and strong correlations can give rise to new effects in open quantum many-body systems with balanced gain and loss. We propose a generalized Anderson impurity model that includes non-Hermitian hopping terms between an embedded quantum dot and two wires. These non-Hermitian hopping terms respect a parity-time (PT) symmetry. In the regime of a singly occupied localized state, we map the problem to a PT-symmetric Kondo model and study the effects of the interactions using a perturbative renormalization group approach. We find that the Kondo effect persists if the couplings are below a critical value that corresponds to an exceptional point of the non-Hermitian Kondo interaction. On the other hand, in the regime of spontaneously broken PT symmetry, the Kondo effect is suppressed and the low-energy properties are governed by a local-moment fixed point with vanishing conductance.

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  • Received 12 June 2018
  • Revised 30 July 2018

DOI:https://doi.org/10.1103/PhysRevB.98.085126

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

José A. S. Lourenço, Ronivon L. Eneias, and Rodrigo G. Pereira

  • International Institute of Physics and Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário, Lagoa Nova, Natal, RN, 59078-970, Brazil

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Issue

Vol. 98, Iss. 8 — 15 August 2018

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