Reply to "Comment on `Transition from Bose glass to a condensate of triplons in Tl$_{1-x}$K$_x$CuCl$_3$'"
Fumiko Yamada, Hidekazu Tanaka, Toshio Ono, and Hiroyuki Nojiri

TL;DR
This paper defends previous findings on magnetic-field-induced spin ordering in Tl$_{1-x}$K$_x$CuCl$_3$, providing experimental data and physics-based arguments against criticisms regarding the Bose glass to condensate transition of triplons.
Contribution
It offers a detailed rebuttal to prior criticism, reaffirming the interpretation of the phase transition as a Bose glass to condensate of triplons in the studied material.
Findings
Experimental data supports the Bose glass to condensate transition interpretation.
Arguments based on low-temperature specific heat challenge previous criticisms.
Reaffirmation of the magnetic-field-induced spin ordering in Tl$_{1-x}$K$_x$CuCl$_3$.
Abstract
Showing low-temperature specific heat and other experimental data and also on the basis of established physics, we argue against the comment made by Zheludev and H\"{u}vonnen criticizing our recent study on the magnetic-field-induced spin ordering and critical behavior in TlKCuCl, which is described as the Bose glass-condensate transition of triplons.
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