Geometric Aspects of Functional Analysis

Volume 1745 of the series Lecture Notes in Mathematics pp 67-79


Anderson localization for the band model

  • J. BourgainAffiliated withInstitute for Advanced Study
  • , S. JitomirskayaAffiliated withUniversity of California

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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.