Magnetic square lattice with vertex coupling of a preferred orientation

0574392 - ÚJF 2024 RIV US eng J - Journal Article
Baradaran, M. - Exner, Pavel - Lipovský, J.
Magnetic square lattice with vertex coupling of a preferred orientation.
Annals of Physics. Roč. 454, JUL (2023), č. článku 169339. ISSN 0003-4916. E-ISSN 1096-035X
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Quantum graphs * Magnetic field * Periodic structrure * Time reversal non-invariance * Spectral gaps
OECD category: Pure mathematics
Impact factor: 3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.aop.2023.169339

We analyze a square lattice graph in a magnetic field assuming that the vertex coupling is of a particular type violating the time reversal invariance. Calculating the spectrum numerically for rational values of the flux per plaquette we show how the two effects compete, at the high energies it is the magnetic field which dominates restoring asymptotically the familiar Hofstadter's butterfly pattern.
Permanent Link: https://hdl.handle.net/11104/0344719