Studying the holographic Fermi surface in the scalar induced anisotropic background

Abstract

Holographic properties of a finite density fermion system have been shown to exhibit many interesting behaviours which can be observed in future. In this paper, we study low energy fermion properties in the framework of holographic Mott-Insulator system. We study the nature of the Fermi surface and its evolution by tuning both Lorentz preserving and violating dipole coupling in the bulk. We further introduce translational symmetry breaking complex scalar field, which is assumed to couple with the holographic fermions. The symmetry breaking background induced by the scalar field is known as Qlattice. We calculate the fermion spectral function which captures the low energy behaviour of the system. By tuning the dipole parameters as well as the non-normalizable component of the scalar field, we observe interesting phenomena such as spectral weight transfer, Fermi surface smearing, which has already been reported in various real condensed matter experiments.

Evolution of holographic Fermi surface from non-minimal couplings

“…In this section, we will briefly discuss about the Q-lattice since we had put a detail discussion in [47], we will highlight only few important points here. Here, the set up for the Qlattice background will be a (3 + 1)−dimensional gravity theory in the bulk that could be mapped to a dual theory at the boundary in (2 + 1)− dimensions.…”

“…Further, for fixed mass m 2 φ , we found that the solutions are specified in terms of three dimensionless parameters namely, T/µ , k/µ and χ (1) /µ α − , where T is the temperature of black hole. We showed some plots of the background solutions in our previous work [47] and we will use the same numerical background for analysis of the fermion spectral function later.…”

“…where, e µ a , ω ab µ are the vielbeins and spin connection, q is the charge of the bulk Fermions. The first coupling with controlling parameter p 1 is the same to what we studied in [47], however we include here to study the combine effects. While the second coupling parametrized by p 2 is similar the one studied in the evolution of Fermi Arc [15].…”

“…In this paper, we will study a holographic toy models similar to the one considered in our previous work [47], where the evolution of a pair of Fermi arcs is an important feature. Here, we will essentially extend by modifying our previous couplings with a different one [48], where the bulk dipole coupling is modified to break the rotational and Lorentz symmetries at the boundary.…”

“…In this work, we will consider the Q-lattice [53] as our holographic lattice background which were constructed with a complex scalar field that breaks the translational symmetry in the bulk. In [47], we studied the Fermion spectral function in the Q-lattice background and we will be looking into the Fermi surface evolution due to Fermions bulk couplings parameters in this anisotropic background. Similar construction to our couplings has also been studied in [54] and [55].…”