GISC, Departamento de Física de Materiales, Universidad Complutense, Madrid, Spain.
Phys Rev Lett. 2011 Aug 5;107(6):066402. doi: 10.1103/PhysRevLett.107.066402. Epub 2011 Aug 3.
We calculate numerically the localization length critical index within the Chalker-Coddington model of the plateau-plateau transitions in the quantum Hall effect. We report a finite-size scaling analysis using both the traditional power-law corrections to the scaling function and the inverse logarithmic ones, which provided a more stable fit resulting in the localization length critical index ν = 2.616 ± 0.014. We observe an increase of the critical exponent ν with the system size, which is possibly the origin of discrepancies with early results obtained for smaller systems.
我们通过数值计算方法研究了量子霍尔效应中平台-平台转变的 Chalker-Coddington 模型中的局域长度临界指数。我们使用传统的标度函数幂律修正和逆对数修正进行了有限尺寸标度分析，这提供了更稳定的拟合，导致局域长度临界指数 ν = 2.616 ± 0.014。我们观察到临界指数 ν 随着系统尺寸的增加而增加，这可能是与早期对较小系统得到的结果存在差异的原因。
