Magnetic square lattice with vertex coupling of a preferred orientation
Mathematical Physics
2023-05-31 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.2302.04601,
title = {Magnetic square lattice with vertex coupling of a preferred orientation},
author = {Marzieh Baradaran and Pavel Exner and Jiří Lipovský},
journal= {arXiv preprint arXiv:2302.04601},
year = {2023}
}
Comments
19 pages, 6 figures