Anderson localization for one-frequency quasi-periodic block Jacobi operators

2016/09/09 by Klein, Silvius · 1 citation
#37D25 #47B39 #81Q10 #82B44 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1609.02973

Abstract

We consider a one-frequency, quasi-periodic, block Jacobi operator, whose blocks are generic matrix-valued analytic functions. We establish Anderson localization for this type of operator under the assumption that the coupling constant is large enough but independent of the frequency. This generalizes a result of J. Bourgain and S. Jitomirskaya on localization for band lattice, quasi-periodic Schroedinger operators.

Cited by

• Hölder continuity of the integrated density of states for quasi-periodic Jacobi block matrices

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