对称性破缺的经典自旋模型：随机场诱导的有序性和存在随机场时自发磁化的持续性
Classical spin models with broken symmetry: Random Field Induced Order and Persistence of spontaneous magnetization in presence of a random field
摘要：
我们考虑了二维和三维连续对称自旋的经典自旋模型，并研究了一个破缺的单向淬火无序对系统磁化强度的影响。我们在平均场区工作。我们表明，通过微扰计算和数值模拟，虽然连续的对称性的磁化失去了由于无序，该系统仍然磁化在特定的方向，虽然与较低的值相比，没有无序的情况下。的临界温度，在该系统开始磁化，以及在低和高的温度极限下的磁化，在无序的存在下，估计。此外，我们处理SO（n）n分量自旋模型，得到的近临界标度的广义表达式，这表明，在磁化无序的影响随着维数的增加。除了研究淬火无序外，我们还研究了经典XY自旋模型在恒定磁场下的磁化行为。我们发现，在均匀磁场的存在下，无序可以增强横向于无序场的磁化分量。
英文摘要：
We consider classical spin models of two- and three-dimensional spins with continuous symmetry and investigate the effect of a symmetry-breaking unidirectional quenched disorder on the magnetization of the system. We work in the mean-field regime. We show, by perturbative calculations and numerical simulations, that although the continuous symmetry of the magnetization is lost due to disorder, the system still magnetizes in specific directions, albeit with a lower value as compared to the case without disorder. The critical temperature, at which the system starts magnetizing, as well as the magnetization at low and high temperature limits, in presence of disorder, are estimated. Moreover, we treat the SO(n) n-component spin model to obtain the generalized expressions for the near-critical scalings, which suggest that the effect of disorder in magnetization increases with increasing dimension. We also study the behavior of magnetization of the classical XY spin model in the presence of a constant magnetic field, in addition to the quenched disorder. We find that in presence of the uniform magnetic field, disorder may enhance the component of magnetization in the direction that is transverse to the disorder field.
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