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

0559801 - ÚJF 2023 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA21-07129S
Institucionální podpora: RVO:61389005
Klíčová slova: Quantum graph * Periodic structure * Time reversal non -invariance * Spectral gaps
Obor OECD: Nuclear physics
Impakt faktor: 3, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0333001