Low Temperature Static and Dynamic Behaviour of the Easy-Axis Heisenberg Antiferromagnet on the Kagome Lattice

Abstract

The antiferromagnetic Heisenberg model with easy-axis exchange anisotropy on the Kagome lattice is studied by means of Monte Carlo simulations. From equilibrium properties, we find that the values of the critical exponents associated with the magnetization at the critical temperature $T_c$ vary with the magnitude of the anisotropy. On the other hand, the spin-spin autocorrelation functions have a stretched exponential behavior with a power law divergence of the relaxation time at a glass-like temperature $T_g\sim T_c$. From non-equilibrium dynamics at a fixed temperature below $T_g$, aging effects are found which obey the same scaling laws as in spin glasses and polymers.

9 pages, 10 figures

References in corpus (2)

• Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
• Aging effects and dynamic scaling in the 3d Edwards-Anderson spin glasses: a comparison with experiments

Cited by in corpus (7)

• Juxtaposition of Spin Freezing and Long Range Order in a Series of Geometrically Frustrated Antiferromagnetic Gadolinium Garnets
• Slow Relaxation of Spin Structure in Exotic Ferromagnetic Phase of Ising-like Heisenberg Kagome Antiferromagnets
• Fracton excitations in classical frustrated kagome spin models
• Original electric-vertex formulation of the symmetric eight-vertex model on the square lattice is fully non-universal
• Critical properties of the eight-vertex model in a field
• Off Equilibrium Study of the Fluctuation-Dissipation Relation in the Easy-Axis Heisenberg Antiferromagnet on the Kagome Lattice
• Damage spreading in two dimensional geometrically frustrated lattices: the triangular and kagome anistropic Heisenberg model