Linear Resistivity from Non-Abelian Black Holes

Abstract

Starting with the holographic p-wave superconductor, we show how to obtain a finite DC conductivity through a non-abelian gauge transformation. The translational symmetry is preserved. We obtain phenomenological similarities with high temperature cuprate superconductors. Our results suggest that a lattice or impurities are not essential to produce a finite DC resistivity with a linear temperature dependence. An analogous field theory calculation for free fermions, presented in the appendix, indicates our results may be a special feature of strong interactions.

arXiv comment27 pages, 12 figures; v4: An analogous field theory calculation added. Small changes to abstract, introduction, discussion and reference. To appear in JHEP

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Cited by in corpus (12)

• Phase transitions in a holographic s+p model with backreaction
• Holographic p-wave Superconductor with Disorder
• Linear-$T$ resistivity at high temperature
• Dyons and dyonic black holes in $\mathfrak{su}(N)$ Einstein-Yang-Mills theory in anti-de Sitter space-time
• Holographic phase transitions from higgsed, non abelian charged black holes
• On the stability of soliton and hairy black hole solutions of $\mathfrak{su}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant
• A New Approach to Non-Abelian Hydrodynamics
• On the stability of dyons and dyonic black holes in Einstein-Yang-Mills theory
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Fermionic spectral functions in backreacting p-wave superconductors at finite temperature
• Magnetization Dynamics in Holographic Ferromagnets: Landau-Lifshitz Equation from Yang-Mills Fields
• On S-duality for holographic p-wave superconductors