Entangled Dilaton Dyons

Abstract

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 $Ad{S}_2\times R^2$ 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 $Ad{S}_2\times R^2$ end point are also discussed.

Some comments regarding comparison with weakly coupled Fermi liquid changed, typos corrected and caption of a figure modified

References in corpus (42)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Aspects of Holographic Entanglement Entropy
• Entropy and Area
• Geometric and Renormalized Entropy in Conformal Field Theory
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Effective Holographic Theories for low-temperature condensed matter systems
• Non-Fermi liquids from holography
• Violation of the entropic area law for Fermions
• Towards strange metallic holography
• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Aspects of holography for theories with hyperscaling violation
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Holography of Charged Dilaton Black Holes
• Non-Supersymmetric Attractors
• A refinement of entanglement entropy and the number of degrees of freedom
• Generalized Holographic Quantum Criticality at Finite Density
• Holographic Fermi Surfaces and Entanglement Entropy
• Peculiar properties of a charged dilatonic black hole in AdS_5
• Semi-Holographic Fermi Liquids
• Holography of Dyonic Dilaton Black Branes
• Entanglement Entropy and the Fermi Surface
• Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
• Entanglement entropy of critical spin liquids
• Quantum oscillations and black hole ringing
• Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
• On Lifshitz scaling and hyperscaling violation in string theory
• Holographic Entanglement Entropy and Fermi Surfaces
• Spectral weight in holographic scaling geometries
• Fermi surfaces and gauge-gravity duality
• Domain Wall Holography for Finite Temperature Scaling Solutions
• Lifshitz/Schrödinger D-p-branes and dynamical exponents
• On the IR completion of geometries with hyperscaling violation
• Hyperscaling violation from supergravity
• Conformal Field Theory on the Fermi Surface
• Lifshitz-like space-time from intersecting branes in string/M theory
• Intersecting D-branes and Lifshitz-like space-time
• Charged Dilatonic Black Holes and their Transport Properties
• Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes

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• AdS plane waves and entanglement entropy
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• Constraints on RG Flows from Holographic Entanglement Entropy
• Analytic topological hairy dyonic black holes and thermodynamics
• Lifshitz metric with hyperscaling violation from NS5-Dp states in string theory
• Boomerang RG flows with intermediate conformal invariance
• Anisotropic plasmas from axion and dilaton deformations
• Stripe Instabilities of Geometries with Hyperscaling Violation
• Boomerang RG flows in M-theory with intermediate scaling
• Hyperscaling violation : a unified frame for effective holographic theories
• Quantum corrections to extremal black brane solutions
• Conductivities from attractors
• Spatially Modulated Instabilities for Scaling Solutions at Finite Charge Density
• Spatially Modulated Instabilities of Geometries with Hyperscaling Violation
• Criteria For Superfluid Instabilities of Geometries with Hyperscaling Violation
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• Entanglement Entropy of Magnetic Electron Stars