Weyl semimetal phases and implementation in degenerate optical cavities

We propose a scheme for simulating the behaviors of Weyl semimetals by using a two-dimensional array of degenerate optical cavities. To simplify such a three-dimensional system to a two-dimension system, the orbital angular momentum of the light is used to support an extra synthetic dimension. We find that this system is quite suitable for the purpose of investigating the features of the Weyl point by taking advantage of the input-output relation of the optical cavity system. We show that the transport properties of our system are determined by the number of sites along the constrained direction and the spin texture of the system makes the transport momentum dependent and spin dependent.