2013
Medvedyeva, Mariya V.; Gubankova, Elena; Cubrovic, Mihailo; Schalm, Koenraad; Zaanen, Jan
Quantum corrected phase diagram of holographic fermions Tijdschriftartikel
In: JOURNAL OF HIGH ENERGY PHYSICS, nr. 12, 2013, ISSN: 1029-8479.
Abstract | Links | BibTeX | Tags: AdS-CFT Correspondence; Black Holes; Holography and condensed matter physics (AdS/CMT)
@article{WOS:000328894600007,
title = {Quantum corrected phase diagram of holographic fermions},
author = {Mariya V. Medvedyeva and Elena Gubankova and Mihailo Cubrovic and Koenraad Schalm and Jan Zaanen},
doi = {10.1007/JHEP12(2013)025},
issn = {1029-8479},
year = {2013},
date = {2013-12-01},
journal = {JOURNAL OF HIGH ENERGY PHYSICS},
number = {12},
publisher = {SPRINGER},
address = {233 SPRING ST, NEW YORK, NY 10013 USA},
abstract = {We study the phases of strongly correlated electron systems in two
spatial dimensions in the framework of AdS(4)/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)},
pubstate = {published},
tppubtype = {article}
}
We study the phases of strongly correlated electron systems in two
spatial dimensions in the framework of AdS(4)/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.
spatial dimensions in the framework of AdS(4)/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.