Universal Berezinskii-Kosterlitz-Thouless dynamic scaling in the intermediate timerange in frustrated Heisenberg antiferromagnets on triangular lattice

Abstract

We investigate non-equilibrium properties of the frustrated Heisenberg antiferromagnets on the triangular lattice. Nonequilibrium critical relaxation of frustrated Heisenberg antiferromagnets shows a dynamic transition (or, at least, sharp crossover) at the same temperature $T_{\mathrm{u}}=0.282J$ as for static properties due to unbinding of ${\mathbb{Z}}_2$-vortices. We show that starting from the high-temperature initial state, due to presence of ${\mathbb{Z}}_2$-vortices in the considering system, in a broad temperature range $T<T_{\mathrm{u}}$ the dynamic properties in the intermediate time range are similar to those of two-dimensional XY model below Berezinskii-Kosterlitz-Thouless transition. The interaction of ${\mathbb{Z}}_2$-vortices with spin-wave degrees of freedom does not emerge until rather long times.

9 pages, 9 figures

References in corpus (9)

• Aging, rejuvenation and memory : the example of spin glasses
• Unconventional Dynamics in Triangular Heisenberg Antiferromagnet NaCrO2
• Spin dynamics and spin freezing behavior in the two-dimensional antiferromagnet NiGa${}_2$S${}_4$ revealed by Ga-NMR, NQR and $\mu$SR measurements
• Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice
• Signature of a Z_2 vortex in the dynamical correlations of the triangular-lattice Heisenberg antiferromagnet
• Short-range magnetic ordering process for the triangular lattice compound NiGa2S4: a positive muon spin rotation and relaxation study
• Unconventional spin freezing and fluctuations in the frustrated antiferromagnet NiGa2S4
• High Field ESR in the Two-Dimensional Triangular Lattice Antiferromagnet NiGa2S4
• Universal properties of frustrated spin systems: 1/N-expansion and renormalization group approaches

Cited by in corpus (4)

• Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet
• Berezinskii-Kosterlitz-Thouless transitions in an easy-plane ferromagnetic superfluid
• Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model
• Topological Transition to a Critical Phase in a Two-dimensional 3-Vector Model with non-Abelian Fundamental Group: A Simulational Study