2009/06/06 by Alexei Iantchenko, Iantchenko, Alexei, Evgeny Korotyaev +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Mathematics #FOS: Physical sciences #Graphene research and applications #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP
paper · pdf · doi:10.48550/arxiv.0906.1231
3 figures
openalex publication_date 2009/06/06 · arxiv created 2010/02/24 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.