First and second order transition of frustrated Heisenberg spin systems

Details First and second order transition of frustrated Heisenberg spin systems First and second order transition of frustrated Heisenberg spin systems

2000-01-11

arxiv.org/abs/cond-mat/0001135v1

Physics

Condensed Matter

Statistical Mechanics

31 pages, 13 figures, to be published in Euro. J. Phys. B

Scientific paper

10.1007/s100510050113

Starting from the hypothesis of a second order transition we have studied modifications of the original Heisenberg antiferromagnet on a stacked triangular lattice (STA-model) by the Monte Carlo technique. The change is a local constraint restricting the spins at the corners of selected triangles to add up to zero without stopping them from moving freely (STAR-model). We have studied also the closely related dihedral and trihedral models which can be classified as Stiefel models. We have found indications of a first order transition for all three modified models instead of a universal critical behavior. This is in accordance with the renormalization group investigations but disagrees with the Monte Carlo simulations of the original STA-model favoring a new universality class. For the corresponding x-y antiferromagnet studied before, the second order nature of the transition could also not be confirmed.

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