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

Autor:	Baradaran, Marzieh, Exner, Pavel, Tater, Milos
Rok vydání:	2020
Předmět:	Mathematical Physics Condensed Matter - Mesoscale and Nanoscale Physics Mathematics - Spectral Theory Quantum Physics 81Q35 34L10
Zdroj:	Ann. Phys. 443 (2022), 168992
Druh dokumentu:	Working Paper
Popis:	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 high-energy 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. Comment: Minor improvements, a published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.14344 Zobrazit plný text záznamu View this record from Arxiv