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Classical J_1-J_2 Heisenberg model on the kagome lattice

机译:kagome格上的经典J_1-J_2 Heisenberg模型

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Motivated by earlier simulated annealing studies and materials with large spin on the kagome lattice, we performed large scale parallel tempering simulations on the kagome lattice for the extended classical Heisenberg model including next-nearest neighbor interactions. We find that even a small inclusion of a J_2 term induces antiferromagnetic order which prevails in the thermodynamic limit. The magnitude of this effect is surprising. While at J_2 = 0 the finite-size behavior does not suggest a phase transition, at other points the numerical result is consistent with one. Close to J_2 = 0 and for a positive sign of J_2, two subsequent phase transitions/crossovers are found, one of them connecting to the crossover for the J_2 = 0 case, shedding light on the pure case. The universality classes of the transitions were explored.
机译:受早期模拟退火研究和在kagome晶格上具有大自旋的材料的影响,我们对扩展的经典海森堡模型(包括下一个最近邻居)在kagome晶格上进行了大规模平行回火模拟。我们发现,即使很小的J_2项,也会引起反铁磁序,这在热力学极限中很普遍。这种影响的程度令人惊讶。在J_2 = 0时,有限大小的行为并不暗示有相变,而在其他点,数值结果与1一致。接近J_2 = 0且对于J_2为正号,发现了两个随后的相变/分频,其中一个与J_2 = 0情况下的分频器相连,这为纯情况带来了希望。探索了过渡的通用性类别。

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