Sublattice Magnetization and N\'eel Transition in the 2D Quantum Heisenberg Antiferromagnet

Abstract

We present an analytic expression for the finite temperature sublattice magnetization, at the Josephson scale, in two dimensional quantum antiferromagnets with short range N\'eel order. Our expression is able to reproduce both the qualitative behaviour of the phase diagram $M(T)/M_{0}$ and the experimental values of the N\'eel temperature $T_{N}$ for either doped YBa$_{2}$Cu$_{3}$O$_{6.15}$ and stoichiometric La$_{2}$CuO$_{4}$.