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Covering graphs, magnetic spectral gaps and applications to polymers and nanoribbons

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2019-09-14
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MDPI
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In this article, we analyze the spectrum of discrete magnetic Laplacians (DML) on an infinite covering graph G˜→G=G˜/Γ with (Abelian) lattice group Γ and periodic magnetic potential β˜ . We give sufficient conditions for the existence of spectral gaps in the spectrum of the DML and study how these depend on β˜ . The magnetic potential can be interpreted as a control parameter for the spectral bands and gaps. We apply these results to describe the spectral band/gap structure of polymers (polyacetylene) and nanoribbons in the presence of a constant magnetic field.
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Covering Graphs, Discrete Magnetic Laplacian, Magnetic Field, Nanoribbons, Polymers, Spectral Gaps
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Fabila-Carrasco, J. S., & Lledó, F. (2019). Covering Graphs, Magnetic Spectral Gaps and Applications to Polymers and Nanoribbons. In Symmetry (Vol. 11, Issue 9, p. 1163). MDPI AG.