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In this Comment, using Korringa-Kohn-Rostoker coherent-potentialapproximation method in the atomic-sphere approximation (KKR-ASA CPA) todescribe the effects of disorder due to excess Fe in FeTe alloys, we show that(i) the rigid-band approximation is inadequate to describe the effects ofdisorder and its application leads to an incorrect description of theunderlying physics, (ii) the rigid-band energy shift of ~0.76 eV for going fromFeTe to Fe_{1.068}Te (or Fe_{1.063}Te), as obtained by Han and Savrasov (Phys.Rev. Lett. 103, 067001(2009)), is inconsistent with our FP-LMTO as well as theKKR-ASA results, and thus the FS of Fe_{1.063}Te shown in Fig. 3(b) of theirpaper is not correct.

Comment on "Doping Driven ($\pi,0$) Nesting and Magnetic Properties of Fe$_{1+x}$Te Superconductors" [Phys. Rev. Lett. 103, 067001 (2009)]