Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity

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 $\beta$: in the small $\beta$ limit, the DC conductivity is dominated by the coherent phase, while for larger $\beta$, 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.

1+19 pages, 2 figures,typos in Eq.(40) corrected

References in corpus (23)

• Lectures on Holographic Superfluidity and Superconductivity
• Holography without translational symmetry
• Momentum dissipation and effective theories of coherent and incoherent transport
• Thermoelectric DC conductivities from black hole horizons
• Shear Viscosity from Effective Couplings of Gravitons
• Quantum Critical Transport and the Hall Angle
• The thermoelectric properties of inhomogeneous holographic lattices
• Holographic Metals and Insulators with Helical Symmetry
• Coherent/incoherent metal transition in a holographic model
• Metal-insulator Transition by Holographic Charge Density Waves
• Gauss-Bonnet Holographic Superconductors
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Metal-insulator transition in holography
• Holographic Superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Holographic Superconductor on Q-lattice
• Anisotropic plasma at finite $U(1)$ chemical potential
• Holographic superconductors from the massive gravity
• Anisotropic plasma with a chemical potential and scheme-independent instabilities
• Holographic renormalization and anisotropic black branes in higher curvature gravity
• Anisotropic Fermi surface from holography
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Backreaction effects due to matter coupled higher derivative gravity

Cited by in corpus (5)

• The Effect of the Gauss-Bonnet term to Hawking Radiation from arbitrary dimensional Black Brane
• Holographic Heat Current as Noether Current
• CP-violation for Electroweak Baryogenesis from Dynamical CKM Matrix
• Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
• Transport properties in the Horndeski holographic two-currents model