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Spectral properties of hexagonal lattices with the -R coupling
- Publication Year :
- 2024
-
Abstract
- We analyze the spectrum of the hexagonal lattice graph with a vertex coupling which manifestly violates the time reversal invariance and at high energies it asymptotically decouples edges at even degree vertices; a comparison is made to the case when such a decoupling occurs at odd degree vertices. We also show that the spectral character does not change if the equilateral elementary cell of the lattice is dilated to have three different edge lengths, except that flat bands are absent if those are incommensurate.<br />Comment: 12 pages, 4 figures
- Subjects :
- Mathematical Physics
Mathematics - Spectral Theory
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2409.03538
- Document Type :
- Working Paper