Li, X.Zhang, FanMacDonald, A. H.2016-09-232016-09-232016-01-152016-01-150031-9007http://hdl.handle.net/10735.1/5065The (111) surface of SnTe hosts one isotropic Γ-centered and three degenerate anisotropic M-centered Dirac surface states. We predict that a nematic phase with spontaneously broken C₃ symmetry will occur in the presence of a perpendicular magnetic field when the N=0 M Landau levels are 1/3 or 2/3 filled. The nematic state phase boundary is controlled by a competition between intravalley Coulomb interactions that favor a valley-polarized state and weaker intervalley scattering processes that increase in relative strength with magnetic field. An in-plane Zeeman field alters the phase diagram by lifting the threefold M Landau-level degeneracy, yielding a ground state energy with 2π/3 periodicity as a function of Zeeman-field orientation angle.en©2016 American Physical SocietySymmetry (Physics)Dirac equationTelluridesCoulomb functionsZeeman effectArticleLi, X., F. Zhang, and A. H. MacDonald. 2016. "SU(3) quantum hall ferromagnetism in SnTe." Physical Review Letters 116(2), doi:10.1103/PhysRevLett.116.026803.1162