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Graphene properties from curved space Dirac equation

High Energy Physics - Theory 2021-01-11 v4 Mesoscale and Nanoscale Physics Materials Science High Energy Physics - Phenomenology Quantum Physics

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.

Keywords

Cite

@article{arxiv.1808.01187,
  title  = {Graphene properties from curved space Dirac equation},
  author = {Antonio Gallerati},
  journal= {arXiv preprint arXiv:1808.01187},
  year   = {2021}
}

Comments

23 pages, 5 figures

R2 v1 2026-06-23T03:23:46.693Z