Holographic Fermi surfaces and entanglement entropy

We consider a general Kaluza-Klein reduction of a truncated Lovelock theory. We find necessary geometric conditions for the reduction to be consistent. The resulting lower-dimensional theory is a higher derivative scalar-tensor theory, depends on a single real parameter and yields second-order field equations. Due to the presence of higherderivative terms, the theory has multiple applications in modifications of Einstein gravity (Galileon/Horndesky theory) and holography (Einstein-Maxwell-Dilaton theories). We find and analyze charged black hole solutions with planar or curved horizons, both in the 'Einstein' and 'Galileon' frame, with or without cosmological constant. Naked singularities are dressed by a geometric event horizon originating from the higher-derivative terms. The near-horizon region of the near-extremal black hole is unaffected by the presence of the higher derivatives, whether scale invariant or hyperscaling violating. In the latter case, the area law for the entanglement entropy is violated logarithmically, as expected in the presence of a Fermi surface. For negative cosmological constant and planar horizons, thermodynamics and first-order hydrodynamics are derived: the shear viscosity to entropy density ratio does not depend on temperature, as expected from the higher-dimensional scale invariance.

Section: Jhep09(2012)011mentioning

confidence: 82%

Section: Jhep09(2012)011mentioning

confidence: 99%

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography

Charmousis

Goutéraux

Kiritsis

2012

“…The idea of entanglement entropy has also been a focus of recent study in string theory [4,5]. It has led to some understanding of entanglement entropy in strongly coupled quantum mechanical systems, particularly theories which exhibit scaling property near the critical points [6]. A significant observation has been that the small excitations of the subsystems in the boundary theories follow entanglement thermodynamic laws similar to the black hole thermodynamics at finite temperature [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Perturbative entanglement thermodynamics for AdS spacetime: renormalization

Mishra

Singh

2015

Abstract:We study the effect of charged excitations in the AdS spacetime on the first law of entanglement thermodynamics. It is found that 'boosted' AdS black holes give rise to a more general form of first law which includes chemical potential and charge density. To obtain this result we have to resort to a second order perturbative calculation of entanglement entropy for small size subsystems. At first order the form of entanglement law remains unchanged even in the presence of charged excitations. But the thermodynamic quantities have to be appropriately 'renormalized' at the second order due to the corrections. We work in the perturbative regime where T thermal ≪ T E .

“…This is a powerful method which is applicable to holographies for various systems. For example, non-Fermi liquid system was analyzed in a similar way in [32].…”

Section: Stability and Localitymentioning

confidence: 99%

Holographic heavy quark symmetry

Hashimoto

Ogawa

Yamaguchi

2015

Self Cite

Abstract:We investigate the heavy quark spin symmetry, i.e. the mass degeneracy of pseudo-scalar and vector quarkonia at heavy quark limit, by using the gauge/gravity correspondence. We allow generic D3-like geometry with a flavor D7-brane, to avoid supersymmetric mass degeneracy. For geometries admitting physical QCD-like properties, we find that the mass degeneracy is generically achieved in a good accuracy, up to a few percent mass splitting. We also compute spectra of excited quarkonia states, and discuss comparisons with experiments and quark-model calculations.