Seminarium Fizyki Materii Skondensowanej

It is generally believed that a Wigner Crystal in single layergraphene can not form because the magnitudes of the Coulombinteraction and the kinetic energy scale similarly with decreasingelectron density. However, this scaling argument does not hold forthe low energy states in bilayer graphene. We consider theformation of a Wigner Crystal in weakly doped bilayer graphenewith an energy gap opened by a perpendicular electric field. Weargue that in this system the formation of the Wigner Crystal isnot only possible, but different phases of the crystal with verypeculiar properties may exist here depending on the systemparameters.