Abstract
We study the effect of anisotropy on holographic entanglement entropy (HEE) and holographic mutual information (MI) in the Q-lattice model, by exploring the HEE and MI for infinite strips along arbitrary directions. We find that the lattice always enhances the HEE. The MI, however, is enhanced by lattice for large sub-regions; while for small sub-regions, the MI is suppressed by the lattice. We also discuss how these phenomena result from the deformation of geometry caused by Q-lattices.
Highlights
All these models realize the anisotropy by explicitly breaking the isotropic symmetry
We studied the effect of anisotropy on holographic entanglement entropy (HEE) and mutual information (MI) in anisotropic Q-lattice model
We find that the lattice always enhances the HEE, which reflects how Q-lattice deforms the background geometry
Summary
The holographic Q-lattice model is a concise realization of the periodic structure. Previous holographic lattice models, such as the ionic lattices model and the scalar lattices model, introduces spatially periodic structures on scalar fields or the chemical potential (see [9] for a recent review). The Q-lattice model introduces a complex scalar field, which results in only ordinary differential equations. The Aa is the Maxwell field, and φ is the complex scalar field mimicking the lattice structures. In order to solve the system (1), we need to specify the boundary conditions and system parameters. We set a(0) = 1, At(0) = μ becomes the chemical potential of the dual system. The boundary condition λ = φ(0) is the strength of the lattice deformation, and kis the wave vector of the periodic structure. Where we adopt the chemical potential μ as the scaling unit
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