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Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices

  • Askar Iliasov
  • Andrey A. BagrovEmail author
  • Mikhail I. Katsnelson
  • Alexander Krikun
Open Access
Regular Article - Theoretical Physics

Abstract

We analyze fermionic response of strongly correlated holographic matter in presence of inhomogeneous periodically modulated potential mimicking the crystal lattice. The modulation is sourced by a scalar operator that explicitly breaks the translational symmetry in one direction. We compute the fermion spectral function and show that it either exhibits a well defined Fermi surface with umklapp gaps opening on the Brillouin zone boundary at small lattice wave vector, or, when the wave vector is large, the Fermi surface is anisotropically deformed and the quasiparticles get significantly broadened in the direction of translation symmetry breaking. Making use of the ability of our model to smoothly extrapolate to the homogeneous Q-lattice like setup, we show that this novel effect is not due to the periodic modulation of the potential and Umklapp physics, but rather due to the anisotropic features of the holographic horizon. That means it encodes novel physics of strongly correlated critical systems which may be relevant for phenomenology of exotic states of electron matter.

Keywords

Holography and condensed matter physics (AdS/CMT) AdS-CFT Correspondence 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Copyright information

© The Author(s) 2020

Authors and Affiliations

  1. 1.Institute for Molecules and MaterialsRadboud UniversityNijmegenThe Netherlands
  2. 2.Department of Physics and AstronomyUppsala UniversityUppsalaSweden
  3. 3.Instituut-Lorentz for Theoretical Physics, ∆-ITPLeiden UniversityLeidenThe Netherlands
  4. 4.Space Research Institute of the Russian Academy of ScienceMoscowRussia

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