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Admittance of the SU(2) and SU(4) Anderson quantum RC circuits

Michele Filippone1, Karyn Le Hur2, and Christophe Mora1

  • 1Laboratoire Pierre Aigrain, École Normale Supérieure, Université Paris 7 Diderot, CNRS; 24 rue Lhomond, 75005 Paris, France
  • 2Centre de Physique Théorique, École Polytechnique, CNRS, 91128 Palaiseau Cédex, France

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Phys. Rev. B 88, 045302 – Published 3 July, 2013

DOI: https://doi.org/10.1103/PhysRevB.88.045302

Abstract

We study the Anderson model as a description of the quantum RC circuit for spin-1/2 electrons and a single level connected to a single lead. Our analysis relies on the Fermi liquid nature of the ground state, which fixes the form of the low-energy effective model. The constants of this effective model are extracted from a numerical solution of the Bethe ansatz equations for the Anderson model. They allow us to compute the charge relaxation resistance Rq in different parameter regimes. In the Kondo region, the peak in Rq as a function of the magnetic field is recovered and proven to be in quantitative agreement with previous numerical renormalization group results. In the valence-fluctuation region, the peak in Rq is shown to persist, with a maximum value of h/2e2, and an analytical expression is obtained using perturbation theory. We extend our analysis to the SU(4) Anderson model where we also derive the existence of a giant peak in the charge relaxation resistance.

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Phys. Rev. B 88, 045302– Published 3 July, 2013
  • Received 16 April 2013

©2013 American Physical Society

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