Entangled dilaton dyons

doi:10.1007/JHEP03(2013)155

Entangled dilaton dyons

2013-03-27

24

OA

AI

DOI：10.1007/JHEP03(2013)155

Original

Original request for help

Save

Abstract

En 中文

Einstein-Maxwell theory coupled to a dilaton is known to give rise to extremal solutions with hyperscaling violation. We study the behaviour of these solutions in the presence of a small magnetic field. We find that in a region of parameter space the magnetic field is relevant in the infra-red and completely changes the behaviour of the solution which now flows to an AdS(2) x R-2 attractor. As a result there is an extensive ground state entropy and the entanglement entropy of a sufficiently big region on the boundary grows like the volume. In particular, this happens for values of parameters at which the purely electric theory has an entanglement entropy growing with the area, A, like A log(A) which is believed to be a characteristic feature of a Fermi surface. Some other thermodynamic properties are also analysed and a more detailed characterisation of the entanglement entropy is also carried out in the presence of a magnetic field. Other regions of parameter space not described by the AdS(2) x R-2 end point are also discussed.

Keywords:

Holography and condensed matter physics (AdS/CMT)

Gauge-gravity correspondence

AdS-CFT Correspondence

Entangled dilaton dyons

Abstract

Journal

Organization