Magnetic ring chains with vertex coupling of a preferred orientation

0560550 - ÚJF 2023 RIV GB eng J - Journal Article
Baradaran, M. - Exner, Pavel - Lipovský, J.
Magnetic ring chains with vertex coupling of a preferred orientation.
Journal of Physics A-Mathematical and Theoretical. Roč. 55, č. 37 (2022), č. článku 375203. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : periodic quantum graph * time-reversal non-invariance * band spectrum * transport properties * magnetic field
OECD category: Pure mathematics
Impact factor: 2.1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1088/1751-8121/ac820b

We discuss spectral properties of a periodic quantum graph consisting of an array of rings coupled either tightly or loosely through connecting links, assuming that the vertex coupling is manifestly non-invariant with respect to the time reversal and a homogeneous magnetic field perpendicular to the graph plane is present. It is shown that the vertex parity determines the spectral behavior at high energies and the Band-Berkolaiko universality holds whenever the edges are incommensurate. The magnetic field influences the probability that an energy belongs to the spectrum in the tight-chain case, and also it can turn some spectral bands into infinitely degenerate eigenvalues.
Permanent Link: https://hdl.handle.net/11104/0333421