A Geometric Monte Carlo Algorithm for the Antiferromagnetic Ising model with "Topological" Term at $\theta=\pi$

E. Follana; G. Cortese; M. Giordano; V. Azcoiti

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A Geometric Monte Carlo Algorithm for the Antiferromagnetic Ising model with "Topological" Term at θ=π

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arxiv 1312.6416 v3 pith:MT6KNYEJ submitted 2013-12-22 hep-lat cond-mat.stat-mech

A Geometric Monte Carlo Algorithm for the Antiferromagnetic Ising model with "Topological" Term at $\theta=\pi$

V. Azcoiti , G. Cortese , E. Follana , M. Giordano This is my paper

classification hep-lat cond-mat.stat-mech

keywords modelthetaagreementalgorithmantiferromagneticgeometricisingresults

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abstract

In this work we study the two and three-dimensional antiferromagnetic Ising model with an imaginary magnetic field $i\theta$ at $\theta=\pi$. In order to perform numerical simulations of the system we introduce a new geometric algorithm not affected by the sign problem. Our results for the $2D$ model are in agreement with the analytical solutions. We also present new results for the $3D$ model which are qualitatively in agreement with mean-field predictions.

A Geometric Monte Carlo Algorithm for the Antiferromagnetic Ising model with "Topological" Term at $\theta=\pi$

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