Holographic duality and the resistivity of strange metals

2013/11/30 by Richard A. Davison, Koenraad Schalm, Jan Zaanen · 13 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Copper #Duality (order theory) #Electrical resistivity and conductivity #Entropy (arrow of time) #Holography #Materials science #Mathematics #Metal #Metallurgy #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Theoretical and Computational Physics #Thermal conduction #Thermodynamics #Viscosity #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevb.89.245116

published as Phys. Rev. B 89, 245116 (2014) · v2: 20 pages; changed order of presentation and added background information; emphasised local criticality

arxiv created 2014/05/20 · openalex publication_date 2014/06/12 · arxiv updated 2014/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a strange metal, described by a holographic duality, which reproduces the famous linear resistivity of the normal state of the copper oxides, in addition to the linear specific heat. This holographic metal reveals a simple and general mechanism for producing such a resistivity, which requires only quenched disorder and a strongly interacting, locally quantum critical state. The key is the minimal viscosity of the latter: unlike in a Fermi liquid, the viscosity is very small and therefore is important for the electrical transport. This mechanism produces a resistivity proportional to the electronic entropy.

Citations

• Building a Holographic Superconductor
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Holographic Duality with a View Toward Many‐Body Physics
• The large N limit of superconformal field theories and supergravity

Cited by

• Conductivity of a strange metal: from holography to memory functions
• Misner-Sharp mass and the unified first law in massive gravity
• On the hydrodynamic description of holographic viscoelastic models
• Strange metals from quantum geometric fluctuations of interfaces
• Strange metal crossover in the doped holographic superconductor
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• The equivalence between Finsler and non-commutative geometries by massive gravity black hole
• Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
• Universal resistivity from holographic massive gravity
• Hawking-Page transition in holographic massive gravity
• Strongly coupled electron fluids in the Poiseuille regime
• Ghost free massive gravity with singular reference metrics
• Conductivity bounds in probe brane models
• Hydrodynamics of electrons in graphene