Anne Boutet de Monvel, Serguei Naboko, Peter Stollmann, G\"unter Stolz
Localization near fluctuation boundaries via fractional moments and applications
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ABSTRACT.  We present a new, short, self-contained proof of localization 
properties of multi-dimensional continuum random Schr\"odinger 
operators in the fluctuation boundary regime. Our method is based 
on the recent extension of the fractional moment method to 
continuum models in by Aizenman et al, but does not require the random 
potential to satisfy a covering condition. Applications to random 
surface potentials and potentials with random displacements are 
included.