Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity

2014/11/30 by Long Cheng, Xian-Hui Ge, Zu-Yao Sun · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed matter physics #Conductivity #Cosmology and Gravitation Theories #Electrical resistivity and conductivity #Geometry #Mathematics #Momentum (technical analysis) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Thermoelectric effect #hep-th

paper · pdf · doi:10.1007/jhep04(2015)135

published as JHEP 04 (2015) 135 · 1+19 pages, 2 figures,typos in Eq.(40) corrected

openalex publication_date 2015/04/01 · arxiv created 2015/04/28 · arxiv updated 2015/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a mechanism of momentum relaxation in higher derivative gravity by adding linear scalar fields to the Gauss-Bonnet theory. We analytically computed all of the DC thermoelectric conductivities in this theory by adopting the method given by Donos and Gauntlett in [ arXiv:1406.4742 ]. The results show that the DC electric conductivity is not a monotonic function of the effective impurity parameter β: in the small β limit, the DC conductivity is dominated by the coherent phase, while for larger β, pair creation contribution to the conductivity becomes dominant, signaling an incoherent phase. In addition, the DC heat conductivity is found independent of the Gauss-Bonnet coupling constant.

Citations

• Thermoelectric DC conductivities from black hole horizons
• Metal-insulator transition in holography
• Holography without translational symmetry
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Backreaction effects due to matter coupled higher derivative gravity
• Thermodynamics and instabilities of a strongly coupled anisotropic plasma
• Analytic dc thermoelectric conductivities in holography with massive gravitons
• Holographic duality and the resistivity of strange metals
• Holographic Duality with a View Toward Many‐Body Physics
• Viscosity bound violation in higher derivative gravity
• Gauss-Bonnet black holes in AdS spaces
• Spacetime and Geometry

Cited by

• Shear viscosity to entropy density ratio in higher derivative gravity with momentum dissipation
• Magnetothermoelectric DC conductivities from holography models with hyperscaling factor in Lifshitz spacetime
• Ghost free massive gravity with singular reference metrics