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Quantum corrected phase diagram of holographic fermions | | Mariya V. Medvedyeva
; Elena Gubankova
; Mihailo Čubrović
; Koenraad Schalm
; Jan Zaanen
; | | Date: |
21 Feb 2013 | | Abstract: | We study the phases of strongly correlated electron systems in two spatial
dimensions in the framework of AdS${}_4$/CFT${}_3$ 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 wavefunctions extended fully through AdS. At high temperatures, the
system exhibits a {em 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. | | Source: | arXiv, 1302.5149 | | Services: | Forum | Review | PDF | Favorites | |
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