Tensor network simulation for the frustrated J1−J2 Ising model on the square lattice

By using extensive tensor network calculations, we map out the phase diagram of the frustrated ${J}_{1}\text{\ensuremath{-}}{J}_{2}$ Ising model on the square lattice. In particular, we focus on the cases with controversy in the phase diagram, especially the stripe transition in the regime $g=|{J}_{2}/{J}_{1}|>\frac{1}{2} ({J}_{2}>0,{J}_{1}<0)$. While recent studies claimed that the phase transition is of first order when $\frac{1}{2}