Holographic Polarons, the Metal-Insulator Transition and Massive Gravity

Abstract

Massive gravity is holographically dual to `realistic' materials with momentum relaxation. The dual graviton potential encodes the phonon dynamics and it allows for a much broader diversity than considered so far. We construct a simple family of isotropic and homogeneous materials that exhibit an interaction-driven Metal-Insulator transition. The transition is triggered by the formation of polarons -- phonon-electron quasi-bound states that dominate the conductivities, shifting the spectral weight above a mass gap. We characterize the polaron gap, width and dispersion.

4 pages, 3 figures. Typos corrected, references added. Presentation slightly improved. We emphasize that M-I transitions can be obtained both at constant charge density and at constant chemical potential. Figures updated with a corrected minor numerical mistake (conclusions unaffected)

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• Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
• Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
• Holographic superconductor on a novel insulator
• Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model
• Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation
• Massive gravitons in arbitrary spacetimes
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• Hamilton-Jacobi Approach to Holographic Renormalization of Massive Gravity
• Aspects of Massive ABJM Models with Inhomogeneous Mass Parameters
• Momentum dissipation and holographic transport without self-duality
• Non-local Probes in Holographic Theories with Momentum Relaxation
• The instability of $AdS$ black holes with lattices