A simple fluctuation lower bound for a disordered massless random continuous spin model in $d=2$

Christof Kuelske (University of Groningen)
Enza Orlandi (Universita di Roma Tre)

Abstract


We prove a finite volume lower bound of the order $\sqrt{\log N}$ on the delocalization of a disordered continuous spin model (resp. effective interface model) in $d=2$ in a box of size $N$. The interaction is assumed to be massless, possibly anharmonic and dominated from above by a Gaussian. Disorder is entering via a linear source term. For this model delocalization with the same rate is proved to take place already without disorder. We provide a bound that is uniform in the configuration of the disorder, and so our proof shows that disorder will only enhance fluctuations.

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Pages: 200-205

Publication Date: September 14, 2006

DOI: 10.1214/ECP.v11-1218

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