Graphene as a quantum surface with curvature-strain preserving dynamics

TL;DR

This paper explores how curvature and strain in graphene influence its quantum properties and the behavior of geometric quasiparticles, revealing new insights into the material's quantum surface dynamics.

Contribution

It introduces a novel framework linking curvature and strain density to the quantization and dynamics of graphene sheets, emphasizing geometric quasiparticles.

Findings

Curvature and strain induce quantization in graphene.

Internal kinetic momentum relates to Riemannian surface properties.

Dynamics of quasiparticles are governed by geometric factors.

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.