no. 8
Physique mathématique, Théorie spectrale
Spectral properties of periodic systems cut at an angle
Gontier, David1
1 CEREMADE, University of Paris-Dauphine, PSL University, 75016 Paris, France
Comptes Rendus. Mathématique, Tome 359 (2021) no. 8, pp. 949-958.

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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DOI : 10.5802/crmath.251
Gontier, David 1

1 CEREMADE, University of Paris-Dauphine, PSL University, 75016 Paris, France 
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Gontier, David. Spectral properties of periodic systems cut at an angle. Comptes Rendus. Mathématique, Tome 359 (2021) no. 8, pp. 949-958. doi : 10.5802/crmath.251. http://www.numdam.org/articles/10.5802/crmath.251/

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