Damage spreading in two dimensional geometrically frustrated lattices: the triangular and kagome anistropic Heisenberg model

摘要

The technique of damage spreading is used to study the phase diagram of theeasy axis anisotropic Heisenberg antiferromagnet on two geometricallyfrustrated lattices. The triangular and kagome systems are built up fromtriangular units that either share edges or corners respectively. Thetriangular lattice undergoes two sequential Kosterlitz-Thouless transitionswhile the kagome lattice undergoes a glassy transition. In both cases, thephase boundaries obtained using damage spreading are in good agreement withthose obtained from equilibrium Monte Carlo simulations.