Rashba, Emmanuel2016-01-112009Rashba, Emmanuel I. 2009. “Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized States, Spin Zero Modes, and Quantum Hall Effect.” Physical Review B 79 (16) (April 29). doi:10.1103/physrevb.79.161409.1098-0121http://nrs.harvard.edu/urn-3:HUL.InstRepos:24081354Spin splitting of the energy spectrum of single-layer graphene on Au/Ni(111) substrate has been recently reported. I show that eigenstates of spin-orbit coupled graphene are polarized in-plane and are perpendicular to electron momentum k; the magnitude of spin polarization S vanishes when k→0. In a perpendicular magnetic field B, S is parallel to B, and two zero modes emerge in the Landau level spectrum. Singular B dependence of their magnetization suggests existence of a new variety of magnetic instability. They also manifest themselves in a new variety of unconventional quantum Hall effect.en-USJournal Article2015-12-30Emmanuel I. Rashba2016-01-1110.1103/physrevb.79.161409