Dynamic Properties of Two-Dimensional Latticed Holographic System

Abstract

We study the anisotropic properties of dynamical quantities: direct current (DC) conductivity, butterfly velocity, and charge diffusion. The anisotropy plays a crucial role in determining the phase structure of the two-lattice system. Even a small deviation from isotropy can lead to distinct phase structures, as well as the IR fixed points of our holographic systems. In particular, for anisotropic cases, the most important property is that the IR fixed point can be non-AdS${}_2\times {\mathbb{R}}^2$ even for metallic phases. As that of a one-lattice system, the butterfly velocity and the charge diffusion can also diagnose the quantum phase transition (QPT) in this two-dimensional anisotropic latticed system.

26 pages, 14 figures

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• Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity
• A novel holographic quantum phase transition and butterfly velocity
• Charge transport properties in a novel holographic quantum phase transition model
• Transport properties of a holographic model with novel gauge-axion coupling