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arXiv · 1808.01187

Graphene properties from curved space Dirac equation

Antonio Gallerati
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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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hep-thcond-mat.mes-hallcond-mat.mtrl-scihep-phquant-ph

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Antonio Gallerati. 2018-08-03. Graphene properties from curved space Dirac equation. https://doi.org/10.1140/epjp/i2019-12610-6

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