Spectral properties of periodic systems cut at an angle
David Gontier
Abstract:We consider a semi-periodic two-dimensional Schrödinger operator, which is cut with 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 is no gap: the gaps of the bulk operator are filled with edge spectrum.
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