Determine the tricritical point of the frustrated honeycomb-lattice Ising model

Determine the tricritical point in the parameter space of the frustrated Ising model on the honeycomb lattice, where the phase transition changes from second order to first order, with high precision.

Background

The paper situates the three-dimensional antiferromagnetic J1J_1-J2J_2-J3J_3 Ising model within broader research on frustrated Ising systems. Although the phase diagrams of several two-dimensional frustrated models are described as well determined, the authors note that some details of their critical behavior remain unresolved. One specific unresolved issue is the precise location of the tricritical point of the frustrated Ising model on the honeycomb lattice, which separates second-order and first-order transition regimes.

References

For instance, the tricritical point in the parameter space of the frustrated Ising model on the honeycomb lattice, where the phase transitions change from second order to first order, remains to be determined with high precision .

— Phase transitions of the antiferromagnetic $J_1$-$J_2$-$J_3$ Ising model on the cubic lattice  (2610.25884 - Huang et al., 19 Oct 2026) in Introduction