Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model

Chao Niu; Sang-Jin Sin; Xian-Hui Ge; Yi Ling

Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model

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arxiv 1412.8346 v3 pith:4HE6ZKYI submitted 2014-12-29 hep-th

Xian-Hui Ge , Yi Ling , Chao Niu , Sang-Jin Sin This is my paper · ORCID

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keywords anisotropicmodelshearaxionconductivitieslinearthermoelectricviscosity

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abstract

We study thermoelectric conductivities and shear viscosities in a holographically anisotropic model, which is dual to a spatially anisotropic $\mathcal{N}=4$ super-Yang-Mills theory at finite chemical potential. Momentum relaxation is realized through perturbing the linear axion field. Ac conductivity exhibits a coherent/incoherent metal transition. Deviations from the Wiedemann-Franz law are also observed in our model. The longitudinal shear viscosity for prolate anisotropy violates the bound conjectured by Kovtun-Son-Starinets. We also find that thermodynamic and dynamical instabilities are not always equivalent by examining the Gubser-Mitra conjecture.

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