Journal of High Energy Physics

, 2013:25 | Cite as

Quantum corrected phase diagram of holographic fermions

  • Mariya V. Medvedyeva
  • Elena Gubankova
  • Mihailo Čubrović
  • Koenraad Schalm
  • Jan Zaanen
Article

Abstract

We study the phases of strongly correlated electron systems in two spatial dimensions in the framework of AdS4/CFT3 correspondence. The AdS (gravity) model consists of a Dirac fermion coupled to electromagnetic field and gravity. To classify the ground states of strongly correlated electrons on the CFT side and to construct the full phase diagram of the system, we construct a quantum many-body model of bulk fermion dynamics, based on the WKB approximation to the Dirac equation. At low temperatures, we find a quantum corrected approximation to the electron star where the edge is resolved in terms of wave functions extended fully through AdS. At high temperatures, the system exhibits a first order thermal phase transition to a charged AdS-RN black hole in the bulk and the emergence of local quantum criticality on the CFT side. This change from the third order transition experienced by the semi-classical electron star restores the intuition that the transition between the critical AdS-RN liquid and the finite density Fermi system is of van der Waals liquid–gas type.

Keywords

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

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  • Mariya V. Medvedyeva
    • 1
  • Elena Gubankova
    • 2
  • Mihailo Čubrović
    • 3
  • Koenraad Schalm
    • 3
  • Jan Zaanen
    • 3
  1. 1.Department of PhysicsGeorg-August-Universität GöttingenGöttingenGermany
  2. 2.Institute for Theoretical PhysicsJ.W. Goethe-UniversityFrankfurt am MainGermany
  3. 3.Instituut Lorentz, Delta-Institute for Theoretical PhysicsLeiden UniversityLeidenThe Netherlands

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