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We reply to the Comment by Achim Rosch [1] (arXiv:0711.3093v1) who challengesour finding in Ref. [2] (arXiv:0711.0952v1) with regard to the validity of theLuttinger theorem in the cases of Mott insulating N-particle ground states(even) when the chemical potential used in applying this theorem coincides withthe zero-temperature limit of the chemical potential satisfying the equation ofstate corresponding to N particles. Rosch further argues that thestrong-coupling expression for the single-particle Green function presented inRef. [3] (arXiv:cond-mat/0602656v2) and analyzed in Ref. [2] does not implydestruction of the Mott insulating state at half-filling as a result of anarbitrary weak hopping contribution that breaks particle-hole symmetry andtherefore suggests that our conclusion in Ref. [2] to the contrary wereincorrect. Here we show the shortcomings of Rosch's arguments.

Reply to ``Comment on `On the Luttinger theorem concerning number of  particles in the ground states of systems of interacting fermions',''  arXiv:0711.3093v1, by A. Rosch