Vertex coupling interpolation in quantum chain graphs
arxiv(2024)
摘要
We analyze band spectrum of the periodic quantum graph in the form of a chain
of rings connected by line segments with the vertex coupling which violates the
time reversal invariance, interpolating between the δ coupling and the
one determined by a simple circulant matrix. We find that flat bands are
generically absent and that the negative spectrum is nonempty even for
interpolation with a non-attractive δ coupling; we also determine the
high-energy asymptotic behavior of the bands.
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