Surface critical properties of the three-dimensional clock model

Article

关键词: CONTINUOUS SYMMETRY GROUP;    LONG-RANGE ORDER;    2-DIMENSIONAL SYSTEMS;    PHASE-TRANSITIONS;    CRITICAL-BEHAVIOR;    DESTRUCTION;   

DOI  :  10.1103/PhysRevB.106.064420

来源: SCIE

【 摘 要 】

Using Monte Carlo simulations and finite-size scaling analysis, we show that the q-state clock model with q = 6 on a simple cubic lattice with open surfaces has a rich phase diagram; in particular, it has an extraordinary-log phase, in addition to the ordinary and extraordinary transitions at the bulk critical point. We prove numerically that the presence of the intermediate extraordinary-log phase is due to the emergence of an O(2) symmetry in the surface state before the surface enters the Z(q) symmetry-breaking region as the surface coupling is increased at the bulk critical point, while O(2) symmetry emerges for the bulk. The critical behaviors of the extraordinary-log transition, as well as the ordinary transition and the special transition separating the ordinary and extraordinary-log transitions, are obtained.

【 授权许可】

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