Neel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets

Details Neel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets Neel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets

2003-12-16

arxiv.org/abs/cond-mat/0312392v3

Phys. Rev. Lett. 94, 217201 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.94.217201

The N\'eel temperature, $T_{\rm N}$, of quasi-one- and quasi-two-dimensional antiferromagnetic Heisenberg models on a cubic lattice is calculated by Monte Carlo simulations as a function of inter-chain (inter-layer) to intra-chain (intra-layer) coupling $J'/J$ down to $J'/J\simeq 10^{-3}$. We find that $T_{\rm N}$ obeys a modified random-phase approximation-like relation for small $J'/J$ with an effective universal renormalized coordination number, independent of the size of the spin. Empirical formulae describing $T_{\rm N}$ for a wide range of $J'$ and useful for the analysis of experimental measurements are presented.

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