Magnetic square lattice with vertex coupling of a preferred orientation
arXiv:2302.04601 · doi:10.1016/j.aop.2023.169339
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.
19 pages, 6 figures