Comment on "Strong dependence of the interlayer coupling on the hole mobility in antiferromagnetic La$_{2-x}$Sr$_x$CuO$_4$ ($x<0.02$)"
I. Ya. Korenblit, A. Aharony, and O. Entin-Wohlman

TL;DR
This paper critiques previous findings by showing that the net antiferromagnetic interlayer coupling in doped lanthanum cuprates is weakly affected by doping and temperature, challenging the interpretation of effective coupling as related to magnetic order suppression.
Contribution
It provides a reanalysis of experimental data indicating that the net interlayer coupling depends weakly on doping and temperature, contrasting prior claims about its strong dependence.
Findings
Net interlayer coupling depends weakly on doping and temperature.
Effective coupling is proportional to the square of the staggered magnetization.
The analysis challenges previous interpretations of magnetic order suppression.
Abstract
Using the experimental data given in Phys. Rev. B70, 220507 (2004), we show that -- unlike the effective coupling discussed in this paper -- the net average antiferromagnetic interlayer coupling in doped lanthanum cuprates depends only weakly on the doping or on the temperature. We argue that the effective coupling is proportional to the square of the staggered magnetization, and does not supply new information about the origin of the suppression of the magnetic order in doped samples. Our analysis is based on a modified version of the equation describing the spin-flip transition, which takes into account the decrease of the staggered moment with temperature and doping.
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