Tensor network simulation for the frustrated $J_1$-$J_2$ Ising model on the square lattice

By the extensive 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 the regime $g = |J_2/J_1|>1/2$, $(J_2>0,J_1<0)$. Our simulations suggest that the first-order phase transition may reside in a very narrow parameter region $1/2

Keywords:

• Phase transition
• Central charge
• Tensor
• Phase diagram
• Network simulation
• Square lattice
• Ising model
• Point (geometry)
• Physics
• Mathematical physics

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