Running summarizing tools on a new article

Abstract: By the state-of-the-art tensor network algorithms, we provide the phase diagram of the frustrated $J_1$-$J_2$ Ising model on the square lattice. Based on the fine numerical simulations, we discuss the cases with controversy in the phase diagram, especially for the stripe transition in $|J_2/J_1|\gtrsim1/2$, $(J_2>0,J_1<0)$. We conclude that the line of first-order phase transition in the whole $|J_2/J_1|>1/2$ may not exist, or reside in a very narrow parameter region (but the upper limit of which is much smaller than previous research). Combining with the analysis of critical properties, we find that the classical $J_1$-$J_2$ model evolves continously from two decoupled Ising models (with central charge $c = 1$) to a point of tricritical Ising (TCI) model (with $c = 0.7$) as $g$ $(>1/2)$ decreases to about $1/2$.