Die Hard Holographic Phenomenology of Cuprates

Abstract

This note discusses the attempts of fitting a number of the approximate power-law dependencies observed in the cuprates into one consistent holographic or holographically inspired hydrodynamic framework. Contrary to the expectations, the goal of reproducing as many as possible of the established behaviors of the thermodynamic and transport coefficients appears to be achievable within the simplistic picture of a non-degenerate fermion fluid with quadratic dispersion. While not immediately elucidating the essential physics of the cuprates, this observation suggests a possible reason for which the previous attempts towards that goal have remained inconclusive.

Latex, 7 pages, no figures

References in corpus (14)

• Lectures on Holographic Superfluidity and Superconductivity
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Thermoelectric DC conductivities from black hole horizons
• Hydrodynamics in graphene: Linear-response transport
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Quantum Critical Transport and the Hall Angle
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Scaling theory of the cuprate strange metals
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Hidden Fermi-liquid charge transport in the antiferromagnetic phase of the electron-doped cuprates
• Magneto-thermal transport implies an incoherent Hall conductivity
• Interaction dominated transport and Coulomb drag in bilayer graphene
• Planckian relaxation delusion in metals

Cited by in corpus (4)

• Hydrodynamic approach to two-dimensional electron systems
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Diagnostic Tomography of Applied Holography