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  • Letter
  • Open Access

Linear-in-T resistivity from semiholographic non-Fermi liquid models

Benoît Douçot*

Ayan Mukhopadhyay†

Giuseppe Policastro‡

Sutapa Samanta§

  • Laboratoire de Physique Théorique et Hautes Energies, Sorbonne Université and CNRS UMR 7589, 4 place Jussieu, 75252 Paris Cedex 05, France

  • Center for Quantum Information Theory of Matter and Spacetime, Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India

  • Laboratoire de Physique de l’Ecole Normale Supérieure, CNRS, Université PSL, Sorbonne Universités, Université Pierre et Marie Curie, 24 rue Lhomond, 75005 Paris, France

  • School of Physical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India

  • *doucot@lpthe.jussieu.fr
  • †ayan@physics.iitm.ac.in
  • ‡policast@lpt.ens.fr
  • §psss2238@iacs.res.in
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Phys. Rev. D 104, L081901 – Published 11 October, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L081901

Abstract

We construct a semiholographic effective theory in which the electron of a two-dimensional band hybridizes with a fermionic operator of a critical holographic sector, while also interacting with other bands that preserve quasiparticle characteristics. Besides the scaling dimension ν of the fermionic operator in the holographic sector, the effective theory has two dimensionless couplings α and γ determining the holographic and Fermi-liquid-type contributions to the self-energy respectively. We find that irrespective of the choice of the holographic critical sector, there exists a ratio of the effective couplings for which we obtain linear-in-T resistivity for a wide range of temperatures. This scaling persists to arbitrarily low temperatures when ν approaches unity in which limit we obtain a marginal Fermi liquid with a specific temperature dependence of the self-energy.

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Phys. Rev. D 104, L081901– Published 11 October, 2021
  • Received 18 March 2021
  • Accepted 11 September 2021
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