Dynamic Properties of Two-Dimensional Latticed Holographic System


الملخص بالإنكليزية

We study the anisotropic properties of dynamical quantities: direct current (DC) conductivity and butterfly velocity. 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 can also diagnose the quantum phase transition (QPT) in this two-dimensional anisotropic latticed system.

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