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

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

2003-06-05

arxiv.org/abs/cond-mat/0306138v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 figures

Scientific paper

10.1088/0305-4470/36/32/301

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

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