21-34 Marzieh Baradaran and Pavel Exner

Kagome network with vertex coupling of a preferred orientation (9135K, pdf) Jun 30, 21

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. We investigate spectral properties of periodic quantum graphs in the form of a kagome or a triangular lattice in the situation when the condition matching the wave functions at the lattice vertices is chosen of a particular form violating the time-reversal invariance. The positive spectrum consists of infinite number of bands, some of which may be flat; the negative one has at most three and two bands, respectively. The kagome lattice example shows that even in graphs with such an uncommon vertex coupling spectral universality may hold: if its edges are incommensurate, the probability that a randomly chosen positive number is contained in the spectrum is $pprox 0.639$.

Files: 21-34.src( 21-34.comments , 21-34.keywords , kagome210630.pdf.mm )