dc.identifier.uri |
http://dx.doi.org/10.15488/2354 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2380 |
|
dc.contributor.author |
Hempel, Rainer
|
|
dc.contributor.author |
Kohlmann, Martin
|
|
dc.date.accessioned |
2017-11-17T12:10:53Z |
|
dc.date.available |
2017-11-17T12:10:53Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
Hempel, R.; Kohlmann, M.: Spectral properties of grain boundaries at small angles of rotation. In: Journal of Spectral Theory 1 (2011), Nr. 2, S. 197-219. DOI: https://doi.org/10.4171/JST/9 |
|
dc.description.abstract |
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential V:R2→R, we let Vθ(x,y)=V(x,y) in the right half-plane {x≥0} and Vθ=V∘M−θ in the left half-plane {x<0}, where Mθ∈R2×2 is the usual matrix describing rotation of the coordinates in R2 by an angle θ. As a main result, it is shown that spectral gaps of the periodic Schrödinger operator H0=−Δ+V fill with spectrum of Rθ=−Δ+Vθ as 0≠θ→0. Moreover, we obtain upper and lower bounds for a quantity pertaining to an integrated density of states measure for the surface states. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Zürich : European Mathematical Society Publishing House |
|
dc.relation.ispartofseries |
Journal of Spectral Theory 1 (2011), Nr. 2 |
|
dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
|
dc.subject |
Eigenvalues |
eng |
dc.subject |
Schrödinger operators |
eng |
dc.subject |
Spectral gaps |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Spectral properties of grain boundaries at small angles of rotation |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
1664-039X |
|
dc.relation.doi |
https://doi.org/10.4171/JST/9 |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
1 |
|
dc.bibliographicCitation.firstPage |
197 |
|
dc.bibliographicCitation.lastPage |
219 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|