Number of the records: 1
High-energy asymptotics of the spectrum of a periodic square lattice quantum graph
- 1.0350846 - ÚJF 2011 RIV GB eng J - Journal Article
Exner, Pavel - Turek, Ondřej
High-energy asymptotics of the spectrum of a periodic square lattice quantum graph.
Journal of Physics A-Mathematical and Theoretical. Roč. 43, č. 47 (2010), 474024/1-474024/25. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : WANNIER-STARK LADDERS * KIRCHHOFFS RULE * SUPERLATTICES
Subject RIV: BE - Theoretical Physics
Impact factor: 1.641, year: 2010
We investigate a periodic quantum graph in the form of a square lattice with a general self-adjoint coupling at the vertices. We analyse the spectrum's high-energy behaviour. Depending on the coupling type, bands and gaps have different asymptotics. Bands may be flat even if the edges are coupled, and non-flat band widths may behave like O(n(j)), j = 1, 0,-1,-2,-3, as the band index n -> infinity. The gaps may be of asymptotically constant width or linearly growing with the latter case being generic.
Permanent Link: http://hdl.handle.net/11104/0190737
Number of the records: 1