A simple holographic model of a charged lattice

Aprile, Francesco; Ishii, Takaaki

doi:10.1007/jhep10(2014)151

Cited by 8 publications

(6 citation statements)

References 59 publications

(121 reference statements)

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“…We see that, if δO is proportional to − δp x , a Drude-like peak may appear [29]. Furthermore, if δO is independent of parameters(µ, T, β), the scattering time will be inversely proportional to β. i.e.…”

Section: Optical Conductivity and Coherent/incoherent Metalmentioning

confidence: 84%

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Coherent/incoherent metal transition in a holographic model

Kim

Seo

et al. 2014

J. High Energ. Phys.

101

163

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Abstract:We study AC electric (σ), thermoelectric (α), and thermal (κ) conductivities in a holographic model, which is based on 3+1 dimensional Einstein-Maxwell-scalar action. There is momentum relaxation due to massless scalar fields linear to spatial coordinate. The model has three field theory parameters: temperature (T ), chemical potential (µ), and effective impurity (β). At low frequencies, if β < µ, all three AC conductivities (σ, α,κ) exhibit a Drude peak modified by pair creation contribution (coherent metal). The parameters of this modified Drude peak are obtained analytically. In particular, if β µ the relaxation time of electric conductivity approaches to 2 √ 3µ/β 2 and the modified Drude peak becomes a standard Drude peak. If β > µ the shape of peak deviates from the Drude form (incoherent metal). At intermediate frequencies (T < ω < µ), we have analysed numerical data of three conductivities (σ, α,κ) for a wide variety of parameters, searching for scaling laws, which are expected from either experimental results on cuprates superconductors or some holographic models. In the model we study, we find no clear signs of scaling behaviour.

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Section: Optical Conductivity and Coherent/incoherent Metalmentioning

confidence: 84%

“…AC electric conductivity was also studied in [25] and here we analyse it in greater detail as well as thermoelectric and thermal conductivities. For AC conductivities in other HBC models including massive gravity models we refer to [14,[27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Coherent/incoherent metal transition in a holographic model

Kim

Seo

et al. 2014

J. High Energ. Phys.

101

163

View full text Add to dashboard Cite

show abstract

“…For example, in [33], the authors studied the optical conductivity by adding a gravitational background lattice. Other papers about holographic lattice can be viewed in [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. The DeTurck method provides a good tool for solving Einstein equations in these papers.…”

Section: Introductionmentioning

confidence: 99%

Holographic s-wave and p-wave Josephson junction with backreaction

Wang

Liu

2016

J. High Energ. Phys.

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In this paper, we study the holographic models of s-wave and p-wave Josephoson junction away from probe limit in (3+1)-dimensional spacetime, respectively. With the backreaction of the matter, we obtained the anisotropic black hole solution with the condensation of matter fields. We observe that the critical temperature of Josephoson junction decreases with increasing backreaction. In addition to this, the tunneling current and condenstion of Josephoson junction become smaller as backreaction grows larger, but the relationship between current and phase difference still holds for sine function. Moreover, condenstion of Josephoson junction deceases with increasing width of junction exponentially.

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“…It has also been demonstrated that the AdS plane waves describe simple backgrounds which are dual to anisotropically excited systems with energy fluxes [39]. An inhomogeneous background has been used to holographically calculate conductivity [40].…”

Section: Inhomogeneous Backgroundsmentioning

confidence: 99%

Holographic complexity and fidelity susceptibility as holographic information dual to different volumes in AdS

et al. 2017

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The holographic complexity and fidelity susceptibility have been defined as new quantities dual to different volumes in AdS. In this paper, we will use these new proposals to calculate both of these quantities for a variety of interesting deformations of AdS. We obtain the holographic complexity and fidelity susceptibility for an AdS black hole, Janus solution and a solution with cylindrically symmetry, an inhomogeneous background and a hyperscaling violating background. It is observed that the holographic complexity depends on the size of the subsystem for all these solutions and the fidelity susceptibility does not have any such dependence.

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A simple holographic model of a charged lattice

Cited by 8 publications

References 59 publications

Coherent/incoherent metal transition in a holographic model

Coherent/incoherent metal transition in a holographic model

Holographic s-wave and p-wave Josephson junction with backreaction

Holographic complexity and fidelity susceptibility as holographic information dual to different volumes in AdS

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