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math.SP2023
Cairo lattice with time-reversal non-invariant vertex couplings
Marzieh Baradaran, Pavel Exner
We analyze the spectrum of a periodic quantum graph of the Cairo lattice form. The used vertex coupling violates the time reversal invariance and its high-energy behavior depends o…
math-ph2023★ 2 cited
Magnetic square lattice with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner, Jiří Lipovský
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 num…