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Graphene properties from curved space Dirac equation

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Abstract.

A mathematical formulation for particle states and electronic properties of a curved graphene sheet is provided, exploiting a massless Dirac spectrum description for charge carriers living in a curved bidimensional background. In particular, we study how the new description affects the characteristics of the sample, writing an appropriate conductivity Kubo formula for the modified background. Finally, we provide a theoretical analysis for the particular case of a cylindrical graphene sample.

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Authors and Affiliations

  1. Politecnico di Torino, Dipartimento DISAT, corso Duca degli Abruzzi 24, 10129, Torino, Italy

    Antonio Gallerati

  2. Istituto Nazionale di Fisica Nucleare (INFN) - Sezione di Torino, Torino, Italy

    Antonio Gallerati

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  1. Antonio Gallerati
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Correspondence to Antonio Gallerati.

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Gallerati, A. Graphene properties from curved space Dirac equation. Eur. Phys. J. Plus 134, 202 (2019). https://doi.org/10.1140/epjp/i2019-12610-6

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