Gap opening in two-dimensional periodic systems

DOI10.1142/S0219199719500809zbMath1465.35146arXiv1810.08824OpenAlexW2979863441WikidataQ127104163 ScholiaQ127104163MaRDI QIDQ5129239

Pavel Exner, Denis I. Borisov

Publication date: 26 October 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08824

zbMATH Keywords

periodic operatorsspectral gapsBrillouin zoneextrema at internal points

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Second-order elliptic equations (35J15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Gap opening and split band edges in waveguides coupled by a periodic system of small windows
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• Perturbation theory for spectral gap edges of 2D periodic Schrödinger operators
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• On the location of spectral edges in \mathbb {Z}-periodic media
• On the spectrum of narrow Neumann waveguide with periodically distributed $\delta \prime $ traps
• On occurrence of spectral edges for periodic operators inside the Brillouin zone
• Gap Control by Singular Schrodinger Operators in a Periodically Structured Metamaterial
• Perturbation theory for the Schrödinger operator with a periodic potential
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