三维和四维酉普适类中安德森跃迁的临界指数的估计

K. Slevin, T. Ohtsuki
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引用次数: 12

摘要

无序非相互作用系统分为十个对称类,其中酉类是最基本的对称类。三维和四维酉普适性类由于与三维Weyl半金属和四维拓扑绝缘体的关系而重新引起人们的兴趣。在这些类别中,确定相关/定位长度的临界指数对于安德森跃迁具有重要的理论和实验意义。利用传递矩阵技术,我们报告了三维和四维U(1)模型的临界指数的数值估计。
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Estimate of the critical exponent of the Anderson transition in the three and four dimensional unitary universality classes
Disordered non-interacting systems are classified into ten symmetry classes, with the unitary class being the most fundamental. The three and four dimensional unitary universality classes are attracting renewed interest because of their relation to three dimensional Weyl semi-metals and four dimensional topological insulators. Determining the critical exponent of the correlation/localistion length for the Anderson transition in these classes is important both theoretically and experimentally. Using the transfer matrix technique, we report numerical estimations of the critical exponent in a U(1) model in three and four dimensions.
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