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28 March 2024
 
  » arxiv » math-ph/0504084

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Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs
Michael Aizenman ; Simone Warzel ;
Date 29 Apr 2005
Subject Mathematical Physics; Disordered Systems and Neural Networks | math-ph cond-mat.dis-nn math.MP
AbstractWe consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extensive perturbations by a random potential. The sufficiency criterion for that is the existence of Bloch-Floquet states for the one dimensional operator corresponding to the radial problem.
Source arXiv, math-ph/0504084
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