Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling

0559801 - ÚJF 2023 RIV US eng J - Journal Article
Baradaran, M. - Exner, Pavel - Tater, Miloš
Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling.
Annals of Physics. Roč. 443, AUG (2022), č. článku 168992. ISSN 0003-4916. E-ISSN 1096-035X
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Quantum graph * Periodic structure * Time reversal non -invariance * Spectral gaps
OECD category: Nuclear physics
Impact factor: 3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.aop.2022.168992

We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the vertices are matched through conditions manifestly non-invariant with respect to time reversal. We discuss, in particular, the highenergy behavior of such systems and the limiting situations when one of the edges in the elementary cell of such a graph shrinks to zero. The spectrum depends on the topology and geometry of the graph. The probability that an energy belongs to the spectrum takes three different values reflecting the vertex parities and mirror symmetry, and the band patterns are influenced by commensurability of graph edge lengths.
Permanent Link: https://hdl.handle.net/11104/0333001