Exploration of magnetic phases of monolayer TMDs

Monolayer transition metal dichalcogenides (TMDs) have been shown experimentally to exhibit an electron spin imbalance when optically pumped and electrically doped by a voltage gate. One possible mechanism for the magnetic behavior is the formation of a Wigner crystal due to the doping level. We investigate the dependence of the phase diagram and magnetic properties of the material on the dependence on electron density. We use four species of electrons to model the material characterized by two possible spins (up and down) and two possible crystal momentum (determined by the two valleys of the conduction band that the electrons are restricted to at low temperatures). We investigate the magnetic phase diagram of such an electron gas to detect the Wigner crystal phase found for the free two-dimensional electron gas.