连续对称性破缺的经典自旋模型：随机场诱导的有序性和自发磁化的持续性
Classical Spin Models with Broken Continuous Symmetry: Random Field Induced Order and Persistence of Spontaneous Magnetization
摘要：
我们考虑一个经典的自旋模型，二维自旋，连续对称性，并调查的对称性破缺单向淬火无序对系统的磁化强度的影响。我们在平均场区工作。我们表明，通过数值模拟和微扰计算中的低以及在高温限制，虽然连续的对称性的磁化丢失，系统仍然磁化，尽管与较低的值相比，没有混乱的情况下。系统开始磁化的临界温度也随着无序的引入而降低。然而，在引入额外的恒定磁场的情况下，在横向于无序场的方向上的磁化分量随着淬火无序的引入而增加。我们还讨论了三维自旋的相同效应。
英文摘要：
We consider a classical spin model, of two-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 numerical simulations and by perturbative calculations in the low as well as in the high temperature limits, that although the continuous symmetry of the magnetization is lost, the system still magnetizes, albeit with a lower value as compared to the case without disorder. The critical temperature at which the system starts magnetizing, also decreases with the introduction of disorder. However, with the introduction of an additional constant magnetic field, the component of magnetization in the direction that is transverse to the disorder field increases with the introduction of the quenched disorder. We discuss the same effects also for three-dimensional spins.
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