Dirac operator spectrum in tubes and layers with a zigzag type boundary

Abstract

We derive a number of spectral results for Dirac operators in geometrically nontrivial regions in ${\mathbb{R}}^2$ and ${\mathbb{R}}^3$ of tube or layer shapes with a zigzag type boundary using the corresponding properties of the Dirichlet Laplacian.

16 pages, no figures

References in corpus (4)

• Electric Field Effect in Atomically Thin Carbon Films
• General $\delta$-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
• Spectral properties of relativistic quantum waveguides
• Quantum Layers over Surfaces Ruled Outside a Compact Set