Critical properties of the two dimensional fully frustrated XY model

Sugimoto, K.; Ebina, K.
June 2000
AIP Conference Proceedings;2000, Vol. 519 Issue 1, p374
Academic Journal
Phase transitions of the two-dimensional fully frustrated XY model (2DFFXY model) have been studied extensively in recent years [1]. It is well known that the ordinary XY model has the O(2) symmetry which is related to the phase angle of spins. The 2DFFXY model bears also a discrete Z[sub 2] symmetry related to the chirality due to the frustration, in addition to the continuous SO(2) symmetry. So two phase transitions with regard to these two symmetries i.e. SO(2) and Z[sub 2] might occur in this model. The 2DFFXYmodel raised a number of questions. At low-temperature limit, the 2DFFXYmodel has a quasi-long-range order (QLRO) of the phase angle and the long-range order (LRO) of the chirality. It is not c]ear whether the two phase transitions to the QLRO and to the LRO of chirality occur at the same temperature or not. If two transitions occur at different temperatures, we have to determine which transition would occur at higher temperature. On the other hand since the two transitions occur at least at very close temperatures even if they do not coincide, the critical properties of the transition(s) are not trivial. Though there has been quite a lot of works [2-4], the critical behavior of 2DFFXY model is still not clear and the universality class remains to be determined.


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