Critical behavior of the<i>q</i>-state clock model in three dimensions

Scholten, P. D.; Irakliotis, L.J.

doi:10.1103/physrevb.48.1291

Cited by 18 publications

(19 citation statements)

References 10 publications

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“…Finally, we discuss what might be expected in d = 3 dimensions. In d = 3, the clock model has a single second-order phase transition, for all values of q [18]. For q = 6, the critical exponents are consistent with those of the d = 3 XY-model [19].…”

Section: Discussionsupporting

confidence: 59%

Universality class of a displacive structural phase transition in two dimensions

Vink¹

2018

Phys. Rev. E

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The displacive structural phase transition in a two-dimensional model solid due to Benassi et al. [Phys. Rev. Lett. 106, 256102 (2011)] is analyzed using Monte Carlo simulations and finite-size scaling. The model is shown to be a member of the two-dimensional six-state clock model universality class. Consequently, the model features two phase transitions, implying the existence of three thermodynamically distinct phases, namely, a low-temperature phase with long-ranged order, an intermediate critical phase with power-law decay of correlations, and a high-temperature phase with short-ranged order.

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Section: Discussionsupporting

confidence: 59%

Universality class of a displacive structural phase transition in two dimensions

Vink¹

2018

Phys. Rev. E

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“…This Z 4 anisotropy in 3D XY model is dangerously irrelevant and this is studied in Refs. [26][27][28][29]. Thus, the finite temperature transition belongs to the 3D XY universality class.…”

Section: Finite Temperature Phase Diagrammentioning

confidence: 99%

Order-by-disorder and magnetic field response in the Heisenberg-Kitaev model on a hyperhoneycomb lattice

Lee

Paramekanti

et al. 2014

Phys. Rev. B

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We study the finite temperature phase diagram of the Heisenberg-Kitaev model on a three dimensional hyperhoneycomb lattice. Using semiclassical analysis and classical Monte-Carlo simulations, we investigate quantum and thermal order-by-disorder, as well as the magnetic ordering temperature. We find the parameter regime where quantum and thermal fluctuations favor different magnetic orders, which leads to an additional finite temperature phase transition within the ordered phase. This transition, however, occurs at a relatively low temperature and the entropic effects may dominate most of the finite temperature region below the ordering temperature. In addition, we explore the magnetization process in the presence of a magnetic field and discover spin-flop transitions which are sensitive to the applied-field direction. We discuss implications of our results for future experiments on a hyperhoneycomb lattice system such as the recently discovered β-Li2IrO3.

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“…In the closely related q-state clock model, the anisotropy is dangerously irrelevant for q 5. While numerical studies [11][12][13] have confirmed the irrelevance of the anisotropy at T c , the associated has, to our knowledge, not been extracted numerically, except for an analysis of the 3-state antiferromagnetic Potts model, which corresponds to Z 6 [9,14].…”

mentioning

confidence: 92%