Critical behavior of the frustrated antiferromagnetic six-state clock model on a triangular lattice

Details Critical behavior of the frustrated antiferromagnetic six-state clock model on a triangular lattice Critical behavior of the frustrated antiferromagnetic six-state clock model on a triangular lattice

2002-04-03

arxiv.org/abs/cond-mat/0204087v1

Phys. Rev. E 66, 026111 (2002).

Physics

Condensed Matter

Statistical Mechanics

8 pages, 9 figures

Scientific paper

10.1103/PhysRevE.66.026111

We study the anti-ferromagnetic six-state clock model with nearest neighbor interactions on a triangular lattice with extensive Monte-Carlo simulations. We find clear indications of two phase transitions at two different temperatures: Below $T_I$ a chirality order sets in and by a thorough finite size scaling analysis of the specific heat and the chirality correlation length we show that this transition is in the Ising universality class (with a non-vanishing chirality order parameter below $T_I$). At $T_{KT}(

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