Number of the records: 1

High-energy asymptotics of the spectrum of a periodic square lattice quantum graph

SYSNO ASEP	0350846
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	High-energy asymptotics of the spectrum of a periodic square lattice quantum graph
Author(s)	Exner, Pavel (UJF-V)_{RID, ORCID, SAI} Turek, Ondřej (UJF-V)_{ORCID, SAI}
Source Title	Journal of Physics A-Mathematical and Theoretical. - : Institute of Physics Publishing - ISSN 1751-8113 Roč. 43, č. 47 (2010), 474024/1-474024/25
Number of pages	25 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	WANNIER-STARK LADDERS ; KIRCHHOFFS RULE ; SUPERLATTICES
Subject RIV	BE - Theoretical Physics
R&D Projects	LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000284100400025
DOI	10.1088/1751-8113/43/47/474024
Annotation	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.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2011

Number of the records: 1