Quantum Graphs with Vertices Violating the Time Reversal Symmetry

0542586 - ÚJF 2022 RIV US eng J - Článek v odborném periodiku
Exner, Pavel
Quantum Graphs with Vertices Violating the Time Reversal Symmetry.
Physics of Particles and Nuclei. Roč. 52, č. 2 (2021), s. 330-336. ISSN 1063-7796. E-ISSN 1531-8559
Institucionální podpora: RVO:61389005
Klíčová slova: quantum graphs * coupling * lattice graphs
Obor OECD: Particles and field physics
Impakt faktor: 0.786, rok: 2021
Způsob publikování: Omezený přístup
https://doi.org/10.1134/S1063779621020039

We discuss quantum graphs with the vertex coupling which violates the time-reversal invariance. For a simple type of this coupling in which the violation is in a sense maximum one we show that it leads to spectral properties determined in the high-energy regime by the graph topology. We illustrate this effect on examples which involve lattice graphs and loop arrays as well as finite graphs associated with Platonic solids. We also show that transport properties of such graphs may differ in the graph bulk and at the edges.
Trvalý link: http://hdl.handle.net/11104/0319973