Localization Phenomenon in Gaps of the Spectrum of Random Lattice Operators
نویسندگان
چکیده
We consider a class of random lattice operators including Sc hr odinger operators of the form H = + w + gv; where w(x) is a real-valued periodic function, g is a positive constant and v(x); x 2 Zd; are independent, identically distributed real random variables. We prov e that if the operator + w has gaps in the spectrum and g is su ciently small, then the operator H develops pure point spectrum with exponentially decaying eigenfunctions in a vicinity of the gaps.
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