Pavel Exner and Markus Holzmann
Dirac operator spectrum in tubes and layers with a zigzag type boundary
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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.