Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-12-03
J. Phys.: Condens. Matter 23 (2011) 164209
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, 7 figures
Scientific paper
10.1088/0953-8984/23/16/164209
We investigate the effect of geometrical frustration on the $H$--$T$ phase diagrams of the classical Heisenberg antiferromagnets on triangular and kagome lattices. The phase diagrams for the two models are obtained from large scale Monte Carlo simulations. For the kagome antiferromagnet thermal fluctuations are unable to lift completely degeneracy and stabilize translationally disordered multipolar phases. We find a substantial difference in the temperature scales of the order by disorder effect related to different degeneracy of the low- and the high-field classical ground states in the kagome antiferromagnet. In the low-field regime, the Kosterlitz-Thouless transition into a spin-nematic phase is produced by unbinding of half-quantum vortices.
Gvozdikova M. V.
Melchy P.-É.
Zhitomirsky Michael E.
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