$2D$ and $3D$ Antiferromagnetic Ising Model with topological term at $θ=π$

preprint2013arXivOpen access

We study the two and three-dimensional Antiferromagnetic Ising Model with an imaginary magnetic field $iθ$ at $θ= π$ . We use a new geometric algorithm which does not present a sign problem. This allows us to perform efficient numerical simulations of this system.

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$2D$ and $3D$ Antiferromagnetic Ising Model with topological term at $θ=π$

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2D2D2D and 3D3D3D Antiferromagnetic Ising Model with topological term at θ=πθ=πθ=π

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$2D$ and $3D$ Antiferromagnetic Ising Model with topological term at $θ=π$