Geodesic
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 Cet article a éte moissonné depuis la source Numdam

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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
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},
     pages = {949--958},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.251/}
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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

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