## 摘要

We study the phase transitions of the two-dimensional (2D) frustrated J_{1}-J_{2} Ising model on the square lattice with Monte Carlo simulations. Here J_{1} < 0 and J_{2} > 0 are the couplings for the nearest and next nearest neighbor Ising spins, respectively. In addition, we consider J_{1} = −1 and J_{2}/|J_{1}| ≡ g = 0.56, 0.58, 0.60, 0.62, 0.64, and 0.7 in our investigation. Several physical quantities including the Binder ratio U, the specific heat C_{v}, and the energy density E are obtained. The analyses of these calculated observables indicate that the considered phase transitions for g ≥ 0.58 are likely second order, and the nature of the phase transition associated with g = 0.56 needs further investigation. A comparison between the histograms of E for the phase transitions considered here and the one associated with the five-state ferromagnetic Potts model on the square lattice is conducted. The outcomes imply that if the studied phase transitions are weakly first order, then they have much larger correlation lengths than that of the five-state Potts model.

原文 | 英語 |
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文章編號 | 053A06 |

期刊 | Progress of Theoretical and Experimental Physics |

卷 | 2024 |

發行號 | 5 |

DOIs | |

出版狀態 | 已發佈 - 2024 5月 1 |

## ASJC Scopus subject areas

- 一般物理與天文學

## 指紋

深入研究「A Comprehensive Study of the Phase Transitions of the Frustrated J_{1}-J

_{2}Ising Model on the Square Lattice」主題。共同形成了獨特的指紋。