Reply to "Comment on `Orbital-selective Mott transitions in the anisotropic two-band Hubbard model at finite temperatures'"

TL;DR

This paper refutes claims made in a comment that incorrectly suggested prior agreement and earlier discovery of orbital-selective Mott transitions in a specific Hubbard model, reaffirming the validity of the original results.

Contribution

The authors demonstrate that previous claims of agreement and earlier reports of transitions are incorrect, reaffirming their original findings and clarifying misunderstandings.

Findings

Liebsch's QMC estimates have over 100% error near transitions

The sequence of Mott transitions was not previously reported by Liebsch

The original results remain valid and unaffected by the comment

Abstract

In a Comment [cond-mat/0506138] on our recent e-print [cond-mat/0505106] Liebsch claimed "excellent correspondence" between our high-precision quantum Monte-Carlo (QMC) data for the anisotropic two-band Hubbard model with Ising type exchange couplings and his earlier QMC results. Liebsch also claimed that the sequence of two orbital-selective Mott transitions, identified by us in this model, had already been reported in his earlier work. Here we demonstrate that both claims are incorrect. We establish that Liebsch's previous QMC estimates for the quasiparticle weight Z have relative errors exceeding 100% near transitions and cannot be used to infer the existence of a second Mott transition (for U_{c2}~2.5). We further show that Liebsch's attribution of our findings to his own earlier work is disproved by the published record. Consequently, the Comment is unwarranted; all results and formulations of our e-print remain valid.