Holographic lattice in Einstein-Maxwell-dilaton gravity

Ling, Yi; Niu, Chao; Wu, Jian-Pin; Xian, Zhuo-Yu

doi:10.1007/jhep11(2013)006

Cited by 115 publications

(121 citation statements)

References 70 publications

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“…The most straightforward way is to impose inhomogeneous boundary conditions of the bulk fields to break translation invariance [3][4][5][6][7][8]. Massive gravity models studied in [9][10][11][12][13] give mass terms to gravitons, which break the spatial diffeomorphisms (not the radial and temporal ones), and consequently break momentum conservation of the boundary field theory with translational invariance unbroken [11].…”

Section: Introductionmentioning

confidence: 99%

Thermoelectric conductivities at finite magnetic field and the Nernst effect

Kim

Seo

et al. 2015

J. High Energ. Phys.

132

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Abstract:We study the thermoelectric conductivities of a strongly correlated system in the presence of a magnetic field by the gauge/gravity duality. We consider a class of Einstein-Maxwell-Dilaton theories with axion fields imposing momentum relaxation. General analytic formulas for the direct current (DC) conductivities and the Nernst signal are derived in terms of the black hole horizon data. For an explicit model study, we analyse in detail the dyonic black hole modified by momentum relaxation. In this model, for small momentum relaxation, the Nernst signal shows a bell-shaped dependence on the magnetic field, which is a feature of the normal phase of cuprates. We compute all alternating current (AC) electric, thermoelectric, and thermal conductivities by numerical analysis and confirm that their zero frequency limits precisely reproduce our analytic DC formulas, which is a non-trivial consistency check of our methods. We discuss the momentum relaxation effects on the conductivities including cyclotron resonance poles.

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Section: Introductionmentioning

confidence: 99%

Thermoelectric conductivities at finite magnetic field and the Nernst effect

Kim

Seo

et al. 2015

J. High Energ. Phys.

132

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“…In the case that m 2 = −2, the general solution of the equation (2.10) is a linear combination of e ±Qr . 5 Requiring that ϕ(r) does not diverge exponentially as r → ∞, we obtain ϕ(r) = V re −Qr .…”

Section: Jhep10(2014)151mentioning

confidence: 99%

“…Of recent interest are the applications of the AdS/CFT correspondence to condensed matter physics. A notable step forward in this direction has been the construction of gravitational background in which the charge density is spatially modulated and translational invariance is explicitly broken [1][2][3][4][5]. These systems are commonly denoted as "holographic lattices".…”

Section: Introductionmentioning

confidence: 99%

A simple holographic model of a charged lattice

Aprile

Ishii

2014

J. High Energ. Phys.

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Abstract:We use holography to compute the conductivity in an inhomogeneous charged scalar background. We work in the probe limit of the four-dimensional Einstein-Maxwell theory coupled to a charged scalar. The background has zero charge density and is constructed by turning on a scalar source deformation with a striped profile. We solve for fluctuations by making use of a Fourier series expansion. This approach turns out to be useful for understanding which couplings become important in our inhomogeneous background. At zero temperature, the conductivity is computed analytically in a small amplitude expansion. At finite temperature, it is computed numerically by truncating the Fourier series to a relevant set of modes. In the real part of the conductivity along the direction of the stripe, we find a Drude-like peak and a delta function with a negative weight. These features are understood from the point of view of spectral weight transfer.

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“…The level of small distances and/or high energies may cause the breakdown of geometrical continuum as well. Examples are offered by lattice or grids in which the interactions are modified at either classical or quantum levels [72][73][74][75][76][77][78][79]. Assuming quantum effects, in analogy to what happens in quantum mechanics, there would exist indivisible units with corresponding minimal lengths associated with certain physical domains.…”

Section: The Approach Of Holographic Dark Energymentioning

confidence: 99%

A Thermodynamic Approach to Holographic Dark Energy

Luongo

2017

Advances in High Energy Physics

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We propose a method to relate the holographic minimal information density to de Broglie's wavelength at a given universe temperature . To figure this out, we assume that the thermal length of massive and massless constituents represents the cutoff scale of the holographic principle. To perform our analysis, we suppose two plausible universe volumes, that is, the adiabatic and the horizon volumes, that is, ∝ 3 and ∝ −3 , respectively, assuming zero spatial curvature. With these choices in mind, we evaluate the thermal lengths for massive and massless particles and we thus find two cosmological models associated with late and early cosmological epochs. We demonstrate that both models depend upon a free term which enters the temperature parametrization in terms of the redshift . For the two treatments, we show evolving dark energy terms which can be compared with the CDM quintessence paradigm when the barotropic factor takes the formal values 0 = −(1/3)(2 + ) and 0 = −(1/3)(1 + 2 ), respectively, for late and early eras. From our analyses, we nominate the two models as viable alternatives to dark energy determined from thermodynamics in the field of the holographic principle.

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Holographic lattice in Einstein-Maxwell-dilaton gravity

Cited by 115 publications

References 70 publications

Thermoelectric conductivities at finite magnetic field and the Nernst effect

Thermoelectric conductivities at finite magnetic field and the Nernst effect

A simple holographic model of a charged lattice

A Thermodynamic Approach to Holographic Dark Energy

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