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arXiv · 2302.04601

Magnetic square lattice with vertex coupling of a preferred orientation

Marzieh Baradaran·Pavel Exner·Jiří Lipovský
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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.

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Marzieh Baradaran, Pavel Exner, Jiří Lipovský. 2023-02-09. Magnetic square lattice with vertex coupling of a preferred orientation. https://doi.org/10.1016/j.aop.2023.169339

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