English

Graphene as a quantum surface with curvature-strain preserving dynamics

Mesoscale and Nanoscale Physics 2015-05-20 v4 Mathematical Physics math.MP

Abstract

We discuss how the curvature and the strain density of the atomic lattice generate the quantization of graphene sheets as well as the dynamics of geometric quasiparticles propagating along the constant curvature/strain levels. The internal kinetic momentum of Riemannian oriented surface (a vector field preserving the Gaussian curvature and the area) is determined.

Keywords

Cite

@article{arxiv.1011.2339,
  title  = {Graphene as a quantum surface with curvature-strain preserving dynamics},
  author = {M. V. Karasev},
  journal= {arXiv preprint arXiv:1011.2339},
  year   = {2015}
}

Comments

13p, minor corrections

R2 v1 2026-06-21T16:41:43.812Z