23-4 Marzieh Baradaran, Pavel Exner, Jiri Lipovsky

Magnetic square lattice with vertex coupling of a preferred orientation (682K, pdf) Feb 9, 23

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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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