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arXiv · 0912.2830

True and quasi long-range order in the generalized $q$-state clock model

Seung Ki Baek·Petter Minnhagen·Beom Jun Kim
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Abstract

From consideration of the order-parameter distribution, we propose an observable which makes a clear distinction between true and quasi long-range orders in the two-dimensional generalized $q$-state clock model. Measuring this quantity by Monte Carlo simulations for $q=8$, we construct a phase diagram and identify critical properties across the phase-separation lines among the true long-range order, quasi long-range order, and disorder. Our result supports the theoretical prediction that there appears a discontinuous order-disorder transition as soon as the two phase-separation lines merge.

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Seung Ki Baek, Petter Minnhagen, Beom Jun Kim. 2009-12-15. True and quasi long-range order in the generalized $q$-state clock model. https://doi.org/10.1103/physreve.80.060101

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