Holographic Fermi surfaces in charge density wave from D2-D8

D2-D8 model admits a numerical solution that corresponds to a charge density wave and a spin density wave. Considering that as the background, we numerically solve the Dirac equation for probe fermions. From the solution, we obtain the Green's function and study the behaviour of the spectral density. We begin with generic fermions and have studied the formation of the Fermi surface and where it develops a gap. In addition, we have incorporated an ionic lattice and study its effect on the Fermi surface. Then we analysed the worldvolume fermions. In this particular model we do not find Fermi surface for the dual operators.

Automated summary

The D2-D8 model allows for a numerical solution corresponding to charge density waves and spin density waves. The Dirac equation for probe fermions is numerically solved, with the resulting Green's function used to study spectral density behavior. The study also investigates the impact of an ionic lattice on the Fermi surface.