论文标题
随机场XY模型和零温度临界线的较低临界维度
Lower-Critical Dimension of the Random-Field XY Model and the Zero-Temperature Critical Line
论文作者
论文摘要
随机场XY模型在空间尺寸d = 3和4中进行了研究，以及中间，作为Q-State Clock模型的极限q-> \ Infty，通过层次晶格的精确重新分配组解决方案，或同等地，Migdal-kadanoff近似近似于Migdal-Kadanoff近似于超纤维lattice。较低的临界维度是在3.81 <d_c <4之间确定的。当随机场用Q缩放时，在d = 3中发现了零温度关键的线段。当随机场用q^2缩放时，在d = 3中的中等温度下发现了通用相图。
The random-field XY model is studied in spatial dimensions d=3 and 4, and in-between, as the limit q --> \infty of the q-state clock models, by the exact renormalization-group solution of the hierarchical lattice or, equivalently, the Migdal-Kadanoff approximation to the hypercubic lattices. The lower-critical dimension is determined between 3.81 < d_c <4. When the random-field is scaled with q, a line segment of zero-temperature criticality is found in d=3. When the random-field is scaled with q^2, a universal phase diagram is found at intermediate temperatures in d=3.
