论文标题
具有“随机局部场”类型缺陷的准级iSing模型:尺寸高于较低临界的空间中的Imry-MA相位
Quasi-one-dimensional Ising models with defects of the "random local field" type: Imry-Ma phase in spaces with dimension higher than the lower critical one
论文作者
论文摘要
研究了具有“随机局部场”类型缺陷的准级iSing模型的“温度 - 缺陷浓度”中的相图。由于一维旋转链之间的弱相互作用和形成Imry-MA相的形成趋势,远程顺序出现的趋势与IMRY-MA相的形成趋势,其中顺序参数遵循缺陷所产生的随机场的波动。在空间维度超过较低临界维度的情况下,Imry-MA相的出现可能性。考虑到具有临界维度DL = 2的空间中随机字段的ISING模型中存在远程顺序的问题。
The phase diagram in coordinates "temperature - concentration of defects" of quasi-one-dimensional Ising models with defects of the "random local field" type is investigated. The confrontation of the tendency to the emergence of the long-range order due to a weak interaction between one-dimensional spin chains and the tendency to the formation of the Imry-Ma phase in which the order parameter follows the fluctuations of the random field created by defects is studied. The possibility of the appearance of the Imry-Ma phase in a situation where the space dimension exceeds the lower critical dimension is shown. The question of the existence of the long-range order in the Ising model with random fields in space with the critical dimension dl = 2 is considered.