Dynamics of classical Heisenberg spins, ${ \bf S}_i=({ \bf s}_i,S_{ iz})$, on the Kagom\'{ e} lattice has been studied. An ideal Heisenberg Kagom\'{ e} antiferromagnet is known to remain disordered down to T=0 due to the macroscopic degeneracy of the ground state. Through the study, however, we find that ${ \bf S}_i$ and their planar components ${ \bf s}_i$ behave in a qualitatively different way and especially planar spins (${ \bf s}_i$) show the exotic glass-like transition in the very low temperature $T\sim 0.003J$ ($J$: spin exchange). The glassy behaviors of ${ \bf s}_i$ would be found to be driven by the spin-nematic fluctuations, different from ordinary spin glasses by disorders or anisotropies.
Categories: cond-mat.mtrl-sci cond-mat.dis-nn cond-mat.str-el