Vertex coupling interpolation in quantum chain graphs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00598601" target="_blank" >RIV/61389005:_____/24:00598601 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21340/24:00381591 RIV/00216208:11320/24:10495258

Result on the web

<a href="https://doi.org/10.1063/5.0208361" target="_blank" >https://doi.org/10.1063/5.0208361</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0208361" target="_blank" >10.1063/5.0208361</a>

Result language

angličtina

Original language name

Vertex coupling interpolation in quantum chain graphs

Original language description

We analyze the band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating between the delta coupling and the one determined by a simple circulant matrix. We find that flat bands are generically absent and that the negative spectrum is nonempty even for interpolation with a non-attractive delta coupling. We also determine the high-energy asymptotic behavior of the bands.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

1089-7658

Volume of the periodical

65

Issue of the periodical within the volume

9

Country of publishing house

US - UNITED STATES

Number of pages

16

Pages from-to

092102

UT code for WoS article

001314608200002

EID of the result in the Scopus database

2-s2.0-85205677390