Abstract
In this paper, we show how the methods from [B-G] may be adapted to establish Anderson localization for quasi-periodic lattice Schrödinger operators corresponding to the band model ℤ × {1, ..., b}. Recall that ‘Anderson localization’ means pure point spectrum with exponentially decaying eigenfunctions. We also discuss the issue of dynamical localization.
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References
Bourgain J., Goldstein M. (1999) On non-perturbative localization with quasiperiodic potential. Preprint. Annals of Math., to appear
Bourgain J., Goldstein M., Schlag W. (2000) Anderson localization for Schrödinger operators on ℤ with potentials given by the skew-shift. Preprint
Jitomirskaya S., Last Y. (1999) Power Law subordinary and singular spectra II, Line operators. CMP, to appear
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Bourgain, J., Jitomirskaya, S. (2000). Anderson localization for the band model. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107208
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DOI: https://doi.org/10.1007/BFb0107208
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