Direction dependent giant optical conductivity in 2D semi-Dirac materials

Using linear response theory, we evaluate the optical conductivity of 2D semi-Dirac materials for light polarized along two mutually orthogonal directions and predict a strong anisotropy of the optical response as a consequence of their unique dispersion spectrum. Our results also predict a large degree of sensitivity for inter-band optical conductivity to the polarization direction. While it reveals an abruptly large value for certain frequency for light along a particular polarization direction, it is significantly suppressed along the direction orthogonal to the former. The frequency corresponding to the predicted giant optical conductivity is found to be independent of the chemical potential, for a lightly doped system. This direction-dependency of the giant inter-band optical conductivity may, in turn, be used to uniquely predict the dispersive nature of the 2D \textit{semi}-Dirac materials, in addition to possible applications that arise from this direction dependent optical transparency.

[1] A. Mawrie and B. Muralidharan, ArXiv:1810.05411, (2018).