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

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dc.creatorHonecker, A.
dc.creatorCabra, D. C.
dc.creatorEverts, H. -U.
dc.creatorPujol, P.
dc.creatorStauffer, F.
dc.date2006-09-13
dc.date.accessioned2026-07-07T07:54:41Z
dc.date.available2026-07-07T07:54:41Z
dc.descriptionWe 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.
dc.description11 pages including 9 figures, uses IOP style files; to appear in J. Phys.: Condensed Matter (proceedings of HFM2006)
dc.identifierhttps://arxiv.org/abs/cond-mat/0609312
dc.identifierhttp://arxiv.org/abs/cond-mat/0609312
dc.identifierJ. Phys.: Condens. Matter 19 (2007) 145249
dc.identifierdoi:10.1088/0953-8984/19/14/145249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126702
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleFinite-temperature ordering in a two-dimensional highly frustrated spin model
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