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The role of quadratic onsite pinning potentials on determining the size (N)dependence of the disorder averaged steady state heat current <J>, in aisotopically disordered harmonic chain connected to stochastic heat baths, isinvestigated. For two models of heat baths, namely white noise baths andRubin's model of baths, we find that the N dependence of <J> is the same anddepends on the number of pinning centers present in the chain. In the absenceof pinning, <J> ~ 1/N^{1/2} while in presence of one or two pins <J> ~1/N^{3/2}. For a finite (n) number of pinning centers with 2 <= n << N, weprovide heuristic arguments and numerical evidence to show that <J> ~1/N^{n-1/2}. We discuss the relevance of our results in the context of recentexperiments.

Role of pinning potentials in heat transport through disordered harmonic chain