Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-11-20
Solid State Phenomena Vol. 152-153 (2009) pp 257-260
Physics
Condensed Matter
Statistical Mechanics
4 pages, 1 figure
Scientific paper
10.4028/www.scientific.net/SSP.1
The quantum Heisenberg antiferromagnet on the stacked triangular lattice with the intralayer nearest-neighbor exchange interaction J and interlayer exchange J' is considered within the non-linear $\sigma$-model with the use of the renormalization group (RG) approach. For J' << J the asymptotic formula for the Neel temperature $T_{Neel}$ and sublattice magnetization are obtained. RG turns out to be insufficient to describe experimental data since it does not take into account the $\mathcal{Z}_2$-vortices. Therefore $T_{Neel}$ is estimated using the Monte-Carlo result for the 2D correlation length [10] which has a Kosterlitz-type behavior near the temperature $T_{KT}$ where the vortices are activated.
Ignatenko A. N.
Irkhin Yu. V.
Katanin Andrey A.
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