Graphene properties from curved space Dirac equation
Politecnico di Torino, Dipartimento DISAT, corso Duca degli Abruzzi 24, 10129, Torino, Italy
2 Istituto Nazionale di Fisica Nucleare (INFN) - Sezione di Torino, Torino, Italy
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Accepted: 4 March 2019
Published online: 14 May 2019
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019