论文标题
O(n)模型中的imry-ma相高于较低的临界维度高的空间尺寸
Imry-Ma phase in O(n) models for space dimensions higher than the lower critical dimensionality
论文作者
论文摘要
研究了包含“随机局部场”或“随机局部各向异性”类型的缺陷的矢量顺序参数对称性的系统。结果表明,无序的IMRY-MA阶段,其中顺序参数遵循随机场的空间波动或随机各向异性方向的空间波动,也可以发生在维数D高于较低临界维度DL = 4的坐标空间中。为此,在该尺寸M <dl的跨度上,在互换之间存在sps的互换,并且在互换之间存在互换,并且在互换之间存在互动,并且在互相互动中,与互相相互作用。超平面不应超过一定的临界值。
Systems with continuous symmetry of the vector order parameter containing defects of the "random local field" or "random local anisotropy" types are investigated. It is shown that the disordered Imry-Ma phase, in which the order parameter follows the spatial fluctuations of the random field or random anisotropy direction, can also occur in a coordinate space of dimension d higher than the lower critical dimension dl = 4. For this, the hyperplanes of dimension m < dl, must exist in the coordinate space in which there is a strong exchange interaction between spins, and the interaction between spins belonging to adjacent hyperplanes should not exceed a certain critical value.