Finite-temperature ordering in a two-dimensional highly frustrated spin model

Details Finite-temperature ordering in a two-dimensional highly frustrated spin model Finite-temperature ordering in a two-dimensional highly frustrated spin model

2006-09-13

arxiv.org/abs/cond-mat/0609312v1

J. Phys.: Condens. Matter 19 (2007) 145249

Physics

Condensed Matter

Statistical Mechanics

11 pages including 9 figures, uses IOP style files; to appear in J. Phys.: Condensed Matter (proceedings of HFM2006)

Scientific paper

10.1088/0953-8984/19/14/145249

We investigate the classical counterpart of an effective Hamiltonian for a strongly trimerized kagome lattice. Although the Hamiltonian only has a discrete symmetry, the classical groundstate manifold has a continuous global rotational symmetry. Two cases should be distinguished for the sign of the exchange constant. In one case, the groundstate has a 120^\circ spin structure. To determine the transition temperature, we perform Monte-Carlo simulations and measure specific heat, the order parameter as well as the associated Binder cumulant. In the other case, the classical groundstates are macroscopically degenerate. A thermal order-by-disorder mechanism is predicted to select another 120^\circ spin-structure. A finite but very small transition temperature is detected by Monte-Carlo simulations using the exchange method.

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