Higher-order tensor renormalization group study of the J₁-J₂ Ising model on a square lattice

2023/03/14 by Kota Yoshiyama, Koji Hukushima, Yoshiyama, Kota +1 · 5 citations
Physics and Astronomy · #Quantum many-body systems #Theoretical and Computational Physics #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2303.07733

Abstract

Phase transitions of the J₁-J₂ Ising model on a square lattice are studied using the higher-order tensor renormalization group(HOTRG) method. This system involves a competition between the ferromagnetic interaction J₁ and antiferromagnetic interaction J₂. Furthermore, weak first-order and second-order transitions are observed near the ratio g=J₂/|J₁|=1/2. Our results (based on HOTRG calculations for significantly larger sizes) indicate that the region of the first-order transition is marginally narrower than that in previous studies. Moreover, the universality class of the second-order transition connected to the transition line is not necessarily fully consistent with the Ashkin--Teller class considered earlier.

Cited by

• Spiral states, first-order transitions and specific heat multipeak phenomenon in J₁-J₂-J₃ Ising model: A Wang-Landau algorithm study
• Tensor Renormalization-Group study of the surface critical behavior of a frustrated two-layer Ising model
• The correlated cluster mean-field approach to the frustrated Ising model on the honeycomb lattice
• The phase transitions of the frustrated J₁-J₂ Ising model on the honeycomb lattice
• The frustrated Ising model on the honeycomb lattice: Metastability and universality

Related

• A Bond weighted tensor renormalization group study of the q-state ferromagnetic Potts models on the square lattice
• Tensor Renormalization-Group study of the surface critical behavior of a frustrated two-layer Ising model
• Emergent Intermediate Phase in the J₁-J₂ XY model from Tensor Network Approaches
• Nonequilibrium study of the J₁-J₂ Ising model with random J₂ couplings in the square lattice
• Thermal Phase Diagram of the Square Lattice Ferro-antiferromagnetic J₁-J₂ Heisenberg Model