Charged dilatonic black holes and their transport properties

Abstract

We briefly explain the consistency conditions imposed on the effective holographic theories, which are parameterized by two real exponents (γ, δ) that control the IR dynamics. The general scaling of DC resistivity with temperature at low temperature and AC conductivity at low frequency across the whole (γ, δ) plane are explained. There is a codimension-one region where the DC resistivity is linear in the temperature. For massive carriers, it is shown that when the scalar operator is not the dilaton, the DC resistivity scales as the heat capacity (and entropy) for (2 + 1)-dimensional systems. Regions are identified where the theory at finite density is a Mott-like insulator. This contribution is based on [C. Charmousis, et al. JHEP 1011, 151 (2010 [1] with emphasis on the transport properties of charged dilatonic black holes with potential.

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

“…1 Effective Holographic Theories (EHTs) are a useful tool to describe these unconventional matter phases. They are the application to holography of EGTs, and play the same role at strong coupling as standard effective Quantum Field Theories, [58][59][60]. Such theories always contain a metric (dual to the stress-energy tensor), a non-trivial field in any saddle-point solution.…”

Linear and quadratic in temperature resistivity from holography

“…They found that the linear-T and quadratic-T resistivity can be simultaneously achieved in Lifshitz spacetimes at a dynamical exponent z = 6/5 and a hyperscaling violating exponent θ = 8/5. Other works addressing on the linear-T resistivity and Hall angle can be found in [10][11][12][13][14][15][16][17][18][19][20][21][22] for an incomplete list.…”

Holography of electrically and magnetically charged black branes

“…• When b = 0, a 2 = 1/3, the solution of the case β = 1/a reduces to the Gubser-Rocha one [33]. When b = 0, the solution of the case β = 1/a becomes the well established results in [10,14,52,53]. When k = q = 0, b = 0, by redefining the parameters, the solution coincides to that in [57].…”

“…The black brane solutions of EMDA theory and their holographic properties have been widely studied in [10,14,33,34,[44][45][46][47][48][49][50][51][52][53]. Analytical background can provide a more controllable pattern in studying the holographic characteristics.…”

“…By holography, the linear-T resistivity has firstly been explored in [6,7]. Then different scalings between Hall angle and resistivity have also been investigated in holographic framework [5,[8][9][10][11][12][13][14][15][16][17]. In particular, both the linear-T resistivity and quadratic-T inverse Hall angle can be simultaneously reproduced in some special holographic models [18][19][20][21][22].…”