Real-space renormalization-group approach to the random transverse-field Ising model in finite dimensions
Real-space renormalization-group approach to the random transverse-field Ising model in finite dimensions
复制标题
有限维随机横向场Ising模型的实空间重整化群方法
DOI：
10.1103/physreve.87.032154
复制
发表时间：
2013
影响因子：
2.4
通讯作者：
H. Nishimori
中科院分区：
文献类型：
--
作者：
R. Miyazaki;H. Nishimori
采用实空间重整化群方法研究了有限维随机交换相互作用的横向场伊辛模型。该方案在一维中产生临界点和临界指数的精确值，并且在随机铁磁相互作用的情况下先前的一些结果在二维和三维中再现。我们将该方案应用于二维和三维横向场中的自旋玻璃，这尚未得到广泛的分析。获得了相图和临界指数，并找到了这些模型中存在无限随机不动点的证据。
The transverse-field Ising models with random exchange interactions in finite dimensions are investigated by means of a real-space renormalization-group method. The scheme yields the exact values of the critical point and critical exponentin one dimension and some previous results in the case of random ferromagnetic interactions are reproduced in two and three dimensions. We apply the scheme to spin glasses in transverse fields in two and three dimensions, which have not been analyzed very extensively. The phase diagrams and the critical exponentare obtained and evidence for the existence of an infinite-randomness fixed point in these models is found.