AI 中文总结
本文针对自旋量子霍尔效应网络模型，采用随机网络S矩阵方法开展高精度数值计算，确定其局域化长度指数ν和边界临界指数μ，为相关拓扑系统理论提供关键数据。
AI 中文摘要
自旋量子霍尔效应（SQHE）是少数已知精确临界指数的安德森局域化转变实例之一，是无序拓扑系统和共形场论理论的重要试验场。对应的网络模型通过将Chalker-Coddington模型的随机U(1)相位替换为随机SU(2)矩阵得到，属于Altland-Zirnbauer分类的C类，被认为描述具有破缺时间反演对称性的二维无序超导体中的准粒子输运。本研究采用新近开发的随机网络S矩阵方法，对SQHE网络模型的局域化长度指数（ν）和边界临界指数（μ）开展高精度数值计算。
英文摘要
The spin quantum Hall effect (SQHE) provides one of the few examples of an Anderson localization transition for which exact critical exponents are known, making it an important testing ground for theories of disordered topological systems and conformal field theory. The corresponding network model, obtained by replacing the random $U(1)$ phases of the Chalker--Coddington model with random $SU(2)$ matrices, belongs to symmetry class C of the Altland--Zirnbauer classification and is believed to describe quasiparticle transport in two-dimensional disordered superconductors with broken time-reversal symmetry. In this work, we perform high-precision numerical calculations of the localization-length exponent ($ν$) and the boundary critical exponent ($μ$) for the SQHE network model using the recently developed $S$-matrix approach to random networks.
