Opin vísindi

Conductivities from attractors

Conductivities from attractors

Title: Conductivities from attractors
Author: Erdmenger, Johanna
Fernández, Daniel
Goulart, Prieslei
Witkowski, Piotr
Date: 2017-03
Language: English
Scope: 147
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: Journal of High Energy Physics;2017(3)
ISSN: 1029-8479 (eISSN)
DOI: 10.1007/JHEP03(2017)147
Subject: AdS-CFT correspondence; Gauge-gravity correspondence; Holography; Condensed matter physics; Eðlisfræði; Strengjafræði; Þyngdarafl
URI: https://hdl.handle.net/20.500.11815/275

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Erdmenger, J., Fernández, D., Goulart, P. et al. J. High Energ. Phys. (2017) 2017: 147. doi:10.1007/JHEP03(2017)147


In the context of applications of the AdS/CFT correspondence to condensed matter physics, we compute conductivities for field theory duals of dyonic planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero temperature. We combine the near-horizon data obtained via Sen’s entropy function formalism with known expressions for conductivities. In this way we express the conductivities in terms of the extremal black hole charges. We apply our approach to three different examples for dilaton theories for which the background geometry is not known explicitly. For a constant scalar potential, the thermoelectric conductivity explicitly scales as αxy ∼ N3/2 , as expected. For the same model, our approach yields a finite result for the heat conductivity κ/T ∝ N3/2 even for T → 0.


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