Quantum graphs with vertices of a preferred orientation

Autor:	Exner, Pavel, Tater, Milos
Rok vydání:	2017
Předmět:	Mathematical Physics Mathematics - Spectral Theory Quantum Physics 81Q35 34L10
Zdroj:	Phys. Lett. A (2018) 382 (2018), 283-287
Druh dokumentu:	Working Paper
DOI:	10.1016/j.physleta.2017.11.028
Popis:	Motivated by a recent application of quantum graphs to model the anomalous Hall effect we discuss quantum graphs the vertices of which exhibit a preferred orientation. We describe an example of such a vertex coupling and analyze the corresponding band spectra of lattices with square and hexagonal elementary cells showing that they depend heavily on the network topology, in particular, on the degrees of the vertices involved. Comment: 11 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.02664 Zobrazit plný text záznamu View this record from Arxiv