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Metal-insulator transition for the almost Mathieu operator
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jitomirskaya, Svetlana Ya. |
| Copyright Year | 1999 |
| Abstract | We prove that for Diophantine ω and almost every θ, the almost Mathieu operator, (Hω,λ,θΨ)(n) = Ψ(n+ 1) + Ψ(n− 1) +λ cos 2π(ωn+ θ)Ψ(n), exhibits localization for λ > 2 and purely absolutely continuous spectrum for λ < 2. This completes the proof of (a correct version of) the Aubry-André conjecture. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/9911265v1.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/Annals/150_3/jitomirs.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Exhibits as Topic Internationalization and localization Topological insulator |
| Content Type | Text |
| Resource Type | Article |
