Reply to 'Comment on "Thermodynamics of quantum crystalline membranes"'
B. Amorim, R. Rold\'an, E. Cappelluti, F. Guinea, A. Fasolino, M., I. Katsnelson

TL;DR
This paper is a detailed response defending the authors' previous work on the thermodynamics of quantum crystalline membranes against criticisms regarding their theoretical methods, specifically the use of a Debye momentum as a UV regulator.
Contribution
It provides a counter-argument to criticisms of the original work, clarifying the validity of their theoretical approach in quantum membrane thermodynamics.
Findings
Counter-arguments to criticisms of UV regulation method
Clarification of theoretical assumptions in quantum membrane thermodynamics
Reaffirmation of original results' validity
Abstract
In this note, we reply to the comment made by E.I.Kats and V.V.Lebedev [arXiv:1407.4298] on our recent work "Thermodynamics of quantum crystalline membranes" [Phys. Rev. B 89, 224307 (2014)]. Kats and Lebedev question the validity of the calculation presented in our work, in particular on the use of a Debye momentum as a ultra-violet regulator for the theory. We address and counter argue the criticisms made by Kats and Lebedev to our work.
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