First and second order transition in frustrated XY systems

Details First and second order transition in frustrated XY systems First and second order transition in frustrated XY systems

2000-01-11

arxiv.org/abs/cond-mat/0001134v1

Euro. Phys. J. B 5 (1998) 735

Physics

Condensed Matter

Statistical Mechanics

19 pages, 10 figures

Scientific paper

10.1007/s100510050497

The nature of the phase transition for the XY stacked triangular antiferromagnet (STA) is a controversial subject at present. The field theoretical renormalization group (RG) in three dimensions predicts a first order transition. This prediction disagrees with Monte Carlo (MC) simulations which favor a new universality class or a tricritical transition. We simulate by the Monte Carlo method two models derived from the STA by imposing the constraint of local rigidity which should have the same critical behavior as the original model. A strong first order transition is found. Following Zumbach we analyze the second order transition observed in MC studies as due to a fixed point in the complex plane. We review the experimental results in order to clarify the different critical behavior observed.

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