Shape of Wigner Crystals and Hole Self-Doping in a Mexican-Hat Dispersion

Minho Luke Kim, Xiao-Gang Wen

We study Wigner crystals (WCs) induced by a strong Coulomb interaction from the ring-like Fermi surface of a Mexican-hat dispersion ${\epsilon }_k=c_2{k}^2+c_4{k}^4$. We design orbital shape in…