Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-04-27
J. Phys. Soc. Jpn. 79 (2010) 073001
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 4 figures, accepted for publication in J. Phys. Soc. Jpn
Scientific paper
10.1143/JPSJ.79.073001
Effect of exchange anisotropy on the relaxation time of spin and vector chirality is studied for the antiferromagnetic classical Heisenberg model on the triangular lattice by using the nonequilibrium relaxation Monte Carlo method. We identify the Berezinskii-Kosterlitz-Thouless (BKT) transition and the chiral transition in a wide range of the anisotropy, even for very small anisotropy of $\sim$ 0.01%. As the anisotropy decreases, both the critical temperatures steeply decrease, while the BKT critical region becomes divergently wide. We elucidate a sharp "V shape" of the phase diagram around the isotropic Heisenberg point, which suggests that the isotropic case is exceptionally singular and the associated Z vortex transition will be isolated from the BKT and chiral transitions. We discuss the relevance of our results to peculiar behavior of the spin relaxation time observed experimentally in triangular antiferromagnets.
Misawa Takahiro
Motome Yukitoshi
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