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Localization for a class of discrete long-range quasi-periodic operators.
- Source :
-
Letters in Mathematical Physics . Oct2022, Vol. 112 Issue 5, p1-18. 18p. - Publication Year :
- 2022
-
Abstract
- In this paper we study discrete quasi-periodic operators with certain long-range hopping and monotonic meromorphic potentials. The hopping amplitude decays with the interparticle distance | n | as e - r log t (1 + | n |) ( t > 1 , r > 0 , n ∈ Z v ). By employing the KAM method, we prove such operators have pure point spectrum with eigenfunctions φ i i ∈ Z v obeying φ i (n) ≤ 2 e - r 2 log t (1 + | n - i |) for all i ∈ Z v , n ∈ Z v . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03779017
- Volume :
- 112
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Letters in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 158948904
- Full Text :
- https://doi.org/10.1007/s11005-022-01581-8