Long-range interaction induced phases in Weyl semimetals

The interplay of spin orbit coupling and electron electron interaction condensing new phases of matter is an important new phenomena in solid state physics. In this paper we explore the nature of excitonic phases induced in Weyl semimetals by long-range Coulomb repulsion. It has been previously shown that within mean field short-range repulsion leads to a ferromagnetic insulator, while short-range attraction results in a charge density wave state. Here we show that the charge density wave is the energetically favored state in the presence of long-range repulsion.