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Regular version of the site

Article

Graphene as a Quantum Surface with Curvature-Strain Preserving Dynamics To the blessed memory of Vitaly Lazarevich Ginzburg

Russian Journal of Mathematical Physics. 2011. Vol. 18. No. 1. P. 25-32.

We discuss how the curvature and the strain density of an 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 a Riemannian oriented surface (a vector field preserving the Gaussian curvature and the area) is determined.