Emergent O(n) symmetry in a series of three-dimensional Potts models

Article

关键词: MONTE-CARLO-SIMULATION;    CRITICAL EXPONENTS;    3 DIMENSIONS;    CLOCK MODEL;    LATTICE;    ANTIFERROMAGNETISM;    SUPERCONDUCTIVITY;    TEMPERATURE;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.94.104402

来源: SCIE

【 摘 要 】

We study the q-state Potts model on a simple cubic lattice with ferromagnetic interactions in one lattice direction, and antiferromagnetic interactions in the other two directions. As the temperature T decreases, the system undergoes a second-order phase transition that fits in the universality class of the three-dimensional O(n) model with n = q - 1. This conclusion is based on the estimated critical exponents, and histograms of the order parameter. At even smaller T we find, for q = 4 and 5, a first-order transition to a phase with a different type of long-range order. This long-range order dissolves at T = 0, and the system effectively reduces to a disordered two-dimensional Potts antiferromagnet. These results are obtained by means of Monte Carlo simulations and finite-size scaling.

【 授权许可】

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