Building a doped Mott system by holography

Abstract

We construct a holographic model in the framework of Q-lattices whose dual exhibits metal-insulator transitions. By introducing an interacting term between the Q-lattice and the electromagnetic field in bulk geometry, we find such kind of transition can be Mott-like. The evidences are presented as follows. i) The transition from a metallic phase to an insulating phase occurs when the lattice constant becomes larger. ii) A hard gap in the insulating phase can be manifestly observed in the optical conductivity. Nevertheless, in the zero temperature limit this model exhibits novel metallic behavior, featured by a gap as well as a zero-frequency mode with tiny spectral weight. It implies that our model is dual to a doped Mott system in one dimension where umklapp scattering is frozen at zero temperature. The similarity between this model and some organic linear chain conductors is briefly discussed.

14 pages, 6 figures

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• Holographic DC Conductivity for Backreacted NLED in Massive Gravity
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• Doped Holographic Superconductors in Gubser-Rocha model
• Transport properties of a holographic model with novel gauge-axion coupling
• Momentum dissipation and holographic transport without self-duality
• Holographic Fermi Liquids in a Spontaneously Generated Lattice
• Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature
• Holographic transports from Born-Infeld electrodynamics with momentum dissipation
• The commensurate state and lock-in in a holographic model
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder