Monte Carlo study of the classical antiferromagnetic $J_1$-$J_2$-$J_3$ Heisenberg model on a simple cubic lattice

An extensive Monte Carlo study of the classical Heisenberg model on a simple cubic lattice with antiferromagnetic exchange interactions $J_{n}$ between the first, second, and third neighbors is performed in a broad region of $J_{2} / J_{1}$ , $J_{3} / J_{1}$ ratios, and temperature. The character of the phase transitions is analyzed via the Binder cumulant method. The Neel temperature $T_{N}$ and the frustration parameter (the ratio $f = ∣ θ ∣ / T_{N}$ , $θ$ being the Curie-Weiss temperature) are calculated. A comparison with the Tyablikov approximation is carried out. The strength of the frustration effects is explored. Possible applications to antiferromagnetic perovskites, such as CaMnO $_{3}$ and HgMnO $_{3}$ , are discussed.

Monte Carlo study of the classical antiferromagnetic $J_{1}$ - $J_{2}$ - $J_{3}$ Heisenberg model on a simple cubic lattice

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Monte Carlo study of the classical antiferromagnetic $J_{1}$ - $J_{2}$ - $J_{3}$ Heisenberg model on a simple cubic lattice

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Monte Carlo study of the classical antiferromagnetic J1J1​-J2J2​-J3J3​ Heisenberg model on a simple cubic lattice

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Monte Carlo study of the classical antiferromagnetic J1J1​-J2J2​-J3J3​ Heisenberg model on a simple cubic lattice

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Monte Carlo study of the classical antiferromagnetic $J_{1}$ - $J_{2}$ - $J_{3}$ Heisenberg model on a simple cubic lattice

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Monte Carlo study of the classical antiferromagnetic $J_{1}$ - $J_{2}$ - $J_{3}$ Heisenberg model on a simple cubic lattice

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AI智能校验