Comptes Rendus
Physique mathématique, Théorie spectrale
Spectral properties of periodic systems cut at an angle
David Gontier1
1 CEREMADE, University of Paris-Dauphine, PSL University, 75016 Paris, France
Comptes Rendus. Mathématique, Volume 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
David Gontier 1

1 CEREMADE, University of Paris-Dauphine, PSL University, 75016 Paris, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Spectral properties of periodic systems cut at an angle},
     journal = {Comptes Rendus. Math\'ematique},
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     year = {2021},
     doi = {10.5802/crmath.251},
     language = {en},
}
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David Gontier. Spectral properties of periodic systems cut at an angle. Comptes Rendus. Mathématique, Volume 359 (2021) no. 8, pp. 949-958. doi : 10.5802/crmath.251. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.251/

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