Title: Estimate of the critical exponent of the Anderson transition in the three and four dimensional unitary universality classes Show Chinese title

Title: 三和四维酉普适类中安德森转变临界指数的估计

Abstract: 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. Show Chinese abstract

Abstract: 无序非相互作用系统被分类为十个对称类，其中单位类是最基本的。 三维和四维单位普适类由于与三维外尔半金属和四维拓扑绝缘体的关系而受到新的关注。 确定这些类中安德森转变的相关/局域化长度的临界指数在理论和实验上都很重要。 使用传递矩阵技术，我们报告了在三维和四维U(1)模型中临界指数的数值估计。