Inhomogeneity simplified
Inhomogeneity simplified
We study models of translational symmetry breaking in which inhomogeneous matter field profiles can be engineered in such a way that black-brane metrics remain isotropic and homogeneous. We explore novel Lagrangians involving square root terms and show how these are related to massive gravity models and to tensionless limits of branes. Analytic expressions for the DC conductivity and for the low frequency scaling of the optical conductivity are derived in phenomenological models, and the optical conductivity is studied in detail numerically. The square root Lagrangians are associated with linear growth in the DC resistivity with temperature and also lead to minima in the optical conductivity at finite frequency, suggesting that our models may capture many features of heavy fermion systems.
1-32
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Woodhead, William
447489f8-7c05-4088-bf87-746dad7e9c3b
5 December 2014
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Woodhead, William
447489f8-7c05-4088-bf87-746dad7e9c3b
Abstract
We study models of translational symmetry breaking in which inhomogeneous matter field profiles can be engineered in such a way that black-brane metrics remain isotropic and homogeneous. We explore novel Lagrangians involving square root terms and show how these are related to massive gravity models and to tensionless limits of branes. Analytic expressions for the DC conductivity and for the low frequency scaling of the optical conductivity are derived in phenomenological models, and the optical conductivity is studied in detail numerically. The square root Lagrangians are associated with linear growth in the DC resistivity with temperature and also lead to minima in the optical conductivity at finite frequency, suggesting that our models may capture many features of heavy fermion systems.
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1406.4870.pdf
- Accepted Manuscript
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1406.4870.pdf
- Author's Original
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art_10.1140_epjc_s10052-014-3176-9.pdf
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Accepted/In Press date: 8 November 2014
e-pub ahead of print date: 5 December 2014
Published date: 5 December 2014
Organisations:
Applied Mathematics
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Local EPrints ID: 385157
URI: http://eprints.soton.ac.uk/id/eprint/385157
ISSN: 1434-6044
PURE UUID: 690fdfba-43c3-41e2-bf6c-b28ab270312b
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Date deposited: 18 Jan 2016 09:30
Last modified: 15 Mar 2024 03:42
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Author:
William Woodhead
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