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Analysis of the Zeeman effect on the energy spectrum in graphenes

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Abstract

An analysis of the Zeeman effect with a strong external magnetic field on the energy spectrum in graphene is presented. In general, the Hamiltonian of graphene in applied electric and magnetic fields is not of SO(1, 2) invariance even in the nearest-neighbor approximation because of the Zeeman coupling. But an approximate SO(1, 2) invariance can be obtained when the applied magnetic field is very strong. This approximate invariance can be used to relate the energy structure of graphene in the presence of both electric and magnetic fields to that when there is only magnetic field. Therefore, it can help explain the recently found quantum Hall conductance (4q 2/h)L for L = 0.1.

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Authors and Affiliations

  1. Physics Department, Wright State University, Dayton, OH, 45435, USA

    Sze-Shiang Feng

  2. Physics Department, Florida A & M University, Tallahassee, FL, 32307, USA

    Mogus Mochena

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  1. Sze-Shiang Feng
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  2. Mogus Mochena
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Correspondence to Sze-Shiang Feng.

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Feng, SS., Mochena, M. Analysis of the Zeeman effect on the energy spectrum in graphenes. J. Exp. Theor. Phys. 113, 276–281 (2011). https://doi.org/10.1134/S1063776111060069

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