Fermi-like Liquid From Einstein-DBI-Dilaton System

Pal, Shesansu Sekhar

doi:10.48550/arxiv.1209.3559

Cited by 7 publications

(15 citation statements)

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“…In order to determine the constant of integration, we have used the following boundary condition, x 1 (r ) → ∞. To get a feel of the solution, let us consider a spacetime that exhibits the scale violating behavior along with the trivial and non-trivial scaling of the spatial direction [29], namely,…”

Section: The Precise Form Of the Hypersurface: An Example For Stripmentioning

confidence: 99%

Extremal surfaces and entanglement entropy

Pal

2014

Nuclear Physics B

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We have obtained the equation of the extremal hypersurface by considering the Jacobson-Myers functional and computed the entanglement entropy. In this context, we show that the higher derivative corrected extremal surfaces can not penetrate the horizon. Also, we have studied the entanglement temperature and entanglement entropy for low excited states for such higher derivative theories when the entangling region is of the strip type. arXiv:1312.0088v5 [hep-th]

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Section: The Precise Form Of the Hypersurface: An Example For Stripmentioning

confidence: 99%

Extremal surfaces and entanglement entropy

Pal

2014

Nuclear Physics B

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“…The equations of motion derived from the action (1.1) can be solved analytically [13,14]. The equation of motion for the gauge field reads…”

Section: The Equilibrium Solution and Stabilitymentioning

confidence: 99%

“…Another important problem already studied in [13,14,16], is the thermodynamic stability of the solution. For this purpose, we will need to compute the specific heat at fixed charge, c ρ , and fixed chemical potential, c µ , together with the charge susceptibility χ of the system.…”

Section: The Equilibrium Solution and Stabilitymentioning

confidence: 99%

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Quasinormal Modes and Correlators in the Shear Channel of Spacetime-Filling Branes

Gushterov¹

2018

Preprint

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We study the shear momentum diffusion and related modes of a strongly coupled (2 + 1)-dimensional conformal field theory at finite temperature and chemical potential, using a dual holographic description. We consider a space-time filling charged black brane solution of Einstein's gravity in (3 + 1)-dimensional asymptotically Anti-de Sitter space coupled to a U (1) gauge field via a Dirac-Born-Infeld action. In addition to temperature and chemical potential, the holographic model has two other parameters: the tension of the brane, and the non-linearity parameter controlling the higher-derivative terms of the U (1) field. By varying the parameters, one can, in particular, interpolate between the Reissner-Nordstrom-AdS background and the background of probe branes embedded into AdS space. We find analytically the retarded two-point functions of the shear (transverse to the direction of spatial momentum) components of the energy-momentum tensor and the global U (1) current of the (2 + 1)-dimensional field theory in the hydrodynamic approximation. We also find numerically the location of the poles of the correlators (quasinormal modes) for a wide range of the parameters, focusing on the effects of the back-reaction and non-linearities. We show, in particular, that the shear diffusion constant agrees with the hydrodynamic form for a wide range of parameters, including temperature and backreaction.

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“…Since a system at a critical point can be described by a strongly coupled conformal field theory, the metric in the corresponding classical gravitational theory may be that of Anti-de Sitter space which also possesses scale symmetry. However, in condensed matter physics there are many systems in which space and time scale differently, so it is necessary to introduce the dynamical exponent z in the metric to characterize the Lifshitz scaling [7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Magnetothermoelectric DC conductivities from holography models with hyperscaling factor in Lifshitz spacetime

Chen

et al. 2017

Nuclear Physics B

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We investigate an Einstein-Maxwell-Dilaton-Axion holographic model and obtain two classes of a charged black hole solution with a dynamic exponent and a hyperscaling violation factor when a magnetic field presents. The magnetothermoelectric DC conductivities are then calculated in terms of horizon data by means of holographic principle.We find that linear temperature dependence resistivity and quadratic temperature dependence inverse Hall angle can be achieved in our model. The well-known anomalous temperature scaling of the Nernst signal and the Seebeck coefficient of cuprate strange metals are also discussed. arXiv:1709.08428v3 [hep-th]

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Fermi-like Liquid From Einstein-DBI-Dilaton System

Cited by 7 publications

References 0 publications

Extremal surfaces and entanglement entropy

Extremal surfaces and entanglement entropy

Quasinormal Modes and Correlators in the Shear Channel of Spacetime-Filling Branes

Magnetothermoelectric DC conductivities from holography models with hyperscaling factor in Lifshitz spacetime

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