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Holographic Kondo and Fano resonances

Johanna Erdmenger1,*, Carlos Hoyos2,†, Andy O’Bannon3,‡, Ioannis Papadimitriou4,§, Jonas Probst5,∥, and Jackson M. S. Wu6,¶

  • 1Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany and Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, D-80805 Munich, Germany
  • 2Department of Physics, Universidad de Oviedo, Avda. Calvo Sotelo 18, 33007 Oviedo, Spain
  • 3STAG Research Centre, Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
  • 4SISSA and INFN—Sezione di Trieste, Via Bonomea 265, I 34136 Trieste, Italy
  • 5Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom
  • 6Department of Physics and Astronomy, University of Alabama, Tuscaloosa, Alabama 35487, USA

  • *erdmenger@physik.uni-wuerzburg.de
  • †hoyoscarlos@uniovi.es
  • ‡a.obannon@soton.ac.uk
  • §ioannis.papadimitriou@sissa.it
  • ∥Jonas.Probst@physics.ox.ac.uk
  • jknwgm13@gmail.com
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Phys. Rev. D 96, 021901(R) – Published 12 July, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.021901

Abstract

We use holography to study a (1+1)-dimensional conformal field theory (CFT) coupled to an impurity. The CFT is an SU(N) gauge theory at large N, with strong gauge interactions. The impurity is an SU(N) spin. We trigger an impurity renormalization group (RG) flow via a Kondo coupling. The Kondo effect occurs only below the critical temperature of a large-N mean-field transition. We show that at all temperatures T, impurity spectral functions exhibit a Fano resonance, which in the low-T phase is a large-N manifestation of the Kondo resonance. We thus provide an example in which the Kondo resonance survives strong correlations, and uncover a novel mechanism for generating Fano resonances, via RG flows between (0+1)-dimensional fixed points.

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Phys. Rev. D 96, 021901(R)– Published 12 July, 2017
  • Received 8 December 2016

© 2017 American Physical Society

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