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Spectral weight and spatially modulated instabilities in holographic superfluids

Open Access
Regular Article - Theoretical Physics

Abstract

Free fermions form a Fermi surface, which results in non-zero spectral weight at low energy and finite wavevector k F . In this work, we find similar features in holographic phases dual to strongly coupled quantum superfluid matter. At zero temperature, the phases we consider exhibit semi-local criticality in the IR and all the charge is carried by the scalar condensate outside the black hole horizon. Depending on the value taken by the IR critical exponents, we find Fermi surfaces in the transverse sector, Fermi shells in the longitudinal sector or no spectral weight at all. When there is non-zero transverse spectral weight, the IR can be subject to an instability at finite wavevector, the endpoint of which is likely a spatially modulated phase.

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) 2017

Authors and Affiliations

  1. 1.Nordita, KTH Royal Institute of Technology and Stockholm UniversityStockholmSweden
  2. 2.Stanford Institute for Theoretical Physics, Department of PhysicsStanford UniversityStanfordU.S.A.
  3. 3.APC, Université Paris 7, CNRS/IN2P3, CEA/IRFU, Obs. de Paris (UMR du CNRS 7164)Paris Cedex 13France

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