Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals

Abstract

In the last decade, motivated by the concept of Planckian relaxation and the possible existence of a quantum critical point in cuprate materials, holographic techniques have been extensively used to tackle the problem of strange metals and high-$T_c$ superconductors. Among the various setups, the linear axion Gubser-Rocha model has often been considered as a promising holographic model for strange metals since endowed with the famous linear in $T$ resistivity property. As fiercely advocated by Phil Anderson, beyond $T$-linear resistivity, there are several additional anomalies unique to the strange metal phase, as for example a Fermi liquid like Hall angle -- the famous problem of the two relaxation scales. In this short note, we show that the linear axion holographic Gubser-Rocha model, which presents a single momentum relaxation time, fails in this respect and therefore is not able to capture the transport phenomenology of strange metals. We prove our statement by means of a direct numerical computation, a previously demonstrated scaling analysis and also a hydrodynamic argument. Finally, we conclude with an optimistic discussion on the possible improvements and generalizations which could lead to a holographic model for strange metals in all their glory.

v2: minor revisions, matching the published version

References in corpus (21)

• Effective Holographic Theories for low-temperature condensed matter systems
• Theory of universal incoherent metallic transport
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Thermoelectric DC conductivities from black hole horizons
• Planckian Dissipation in Metals
• Quantum Critical Transport and the Hall Angle
• Scaling theory of the cuprate strange metals
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Conductivity of a strange metal: from holography to memory functions
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Inhomogeneity simplified
• Strange Metallic Behavior in Anisotropic Background
• Damping of Pseudo-Goldstone Fields
• Backreacted DBI Magnetotransport with Momentum Dissipation
• Magneto-thermal transport implies an incoherent Hall conductivity
• Homes' law in holographic superconductor with linear-$T$ resistivity
• Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models
• Disordered quantum critical fixed points from holography
• Die Hard Holographic Phenomenology of Cuprates

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