Higher-Order Fermi-Liquid Corrections for an Anderson Impurity Away from Half Filling

Akira Oguri and A. C. Hewson
Phys. Rev. Lett. 120, 126802 – Published 23 March 2018

Abstract

We study the higher-order Fermi-liquid relations of Kondo systems for arbitrary impurity-electron fillings, extending the many-body quantum theoretical approach of Yamada and Yosida. It includes, partly, a microscopic clarification of the related achievements based on Nozières’ phenomenological description: Filippone, Moca, von Delft, and Mora [Phys. Rev. B 95, 165404 (2017)]. In our formulation, the Fermi-liquid parameters such as the quasiparticle energy, damping, and transport coefficients are related to each other through the total vertex Γσσ;σσ(ω,ω;ω,ω), which may be regarded as a generalized Landau quasiparticle interaction. We obtain exactly this function up to linear order with respect to the frequencies ω and ω using the antisymmetry and analytic properties. The coefficients acquire additional contributions of three-body fluctuations away from half filling through the nonlinear susceptibilities. We also apply the formulation to nonequilibrium transport through a quantum dot, and clarify how the zero-bias peak evolves in a magnetic field.

  • Figure
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  • Received 19 September 2017
  • Revised 20 December 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.126802

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Akira Oguri

  • Department of Physics, Osaka City University, Sumiyoshi-ku, Osaka 558-8585, Japan

A. C. Hewson

  • Department of Mathematics, Imperial College London, London SW7 2AZ, United Kingdom

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Issue

Vol. 120, Iss. 12 — 23 March 2018

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