Spectra of graphene nanoribbons with armchair and zigzag boundary conditions

DOI10.1142/S0129055X14500184zbMath1309.47088MaRDI QIDQ5175599

Petr Siegl, Pedro Freitas

Publication date: 24 February 2015

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

spectrumDirac operatorgraphenezigzag and armchair boundary conditions

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (9)

Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications ⋮ Spectral gaps of Dirac operators describing graphene quantum dots ⋮ Bidimensional honeycomb materials: a graph model through Dirac operator ⋮ Two-dimensional Dirac operators with singular interactions supported on closed curves ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ Eigenvalue curves for generalized MIT bag models ⋮ Self-adjointness of Dirac operators with infinite mass boundary conditions in sectors ⋮ Self-adjointness of two-dimensional Dirac operators on domains ⋮ On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative analysis of trapped Dirac fermions in graphene
• Perturbation theory for linear operators.
• On the spectrum of curved planar waveguides
• Bound states in curved quantum waveguides
• An approach to the spectrum structure of Dirac operators by the local-compactness method
• A REMARK ON BOUNDARY VALUE PROBLEMS FOR THE DIRAC OPERATOR
• On the Decomposition Method and the Spectrum of the Dirac Operator

This page was built for publication: Spectra of graphene nanoribbons with armchair and zigzag boundary conditions