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arXiv · 2104.00760

Spectral properties of periodic systems cut at an angle

David Gontier
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Abstract

We consider a semi-periodic two-dimensional Schrödinger operator which is cut at an angle. When the cut is commensurate with the periodic lattice, the spectrum of the operator has the band-gap Bloch structure. We prove that in the incommensurable case, there are no gaps: the gaps of the bulk operator are filled with edge spectrum.

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David Gontier. 2021-10-27. Spectral properties of periodic systems cut at an angle. https://doi.org/10.5802/crmath.251

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