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Graphene with structure-induced spin-orbit coupling: Spin-polarized states, spin zero modes, and quantum Hall effect

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2009

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American Physical Society (APS)
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Rashba, 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.

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Abstract

Spin 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.

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