Holographic fermionic system with dipole coupling on Q-lattice

Abstract

We construct a holographic model for a fermionic system on Q-lattice and compute the spectral function in the presence of a dipole coupling. Both key features of doped Mott insulators, the dynamical generation of a gap and spectral weight transfer, are observed when adjusting the value of the coupling parameter $p$. Of particular interest is that when the background is in a deep insulating phase, the Mott gap opens much easier with a smaller coupling parameter in comparison with a metallic background. The effects of lattice parameters on the width of the gap $\Delta /\mu$ are studied and a turning point is observed near the critical regime of metal-insulator transitions of the background. Furthermore, the temperature dependence of the spectral function is studied. Finally, we also observe that the anisotropic Q-lattice generates anisotropic peaks with different magnitudes, indicating that insulating and metallic phases arise in different directions.

20 pages, 10 figures, minor changes, typos corrected, ref. added, published version

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• Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices
• Holographic s-wave and p-wave Josephson junction with backreaction
• Probing the Holographic Fermi Arc with scalar field: Numerical and analytical study