Tensor network simulation for the frustrated Ising model on the square lattice
H Li, LP Yang - Physical Review E, 2021 - APS
H Li, LP Yang
Physical Review E, 2021•APSBy using extensive tensor network calculations, we map out the phase diagram of the
frustrated J 1-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|> 1
2 (J 2> 0, J 1< 0). While recent studies claimed that the phase transition is of first order when
1 2< g< g*(with the smallest g* being 0.67), our simulations suggest that if there is such a
first-order region, it is smaller than those found in earlier studies by other methods …
frustrated J 1-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|> 1
2 (J 2> 0, J 1< 0). While recent studies claimed that the phase transition is of first order when
1 2< g< g*(with the smallest g* being 0.67), our simulations suggest that if there is such a
first-order region, it is smaller than those found in earlier studies by other methods …
By using extensive tensor network calculations, we map out the phase diagram of the frustrated 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 . While recent studies claimed that the phase transition is of first order when (with the smallest being 0.67), our simulations suggest that if there is such a first-order region, it is smaller than those found in earlier studies by other methods. Combining with the analysis of critical properties, we provide evidence that the classical model evolves continuously from two decoupled Ising models ( with central charge ) to a point belonging to the tricritical Ising universality class (with ) as decreases to .
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