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Localization length index and subleading corrections in a Chalker-Coddington model: A numerical study

机译:Chalker-Coddington模型中的本地化长度指数和次导校正:数值研究

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We numerically calculated the localization length index v and up to two subleading finite-size indices in the Chalker-Coddington network model of the plateau-plateau transitions in the quantum Hall effect. We also carried out fits with logarithmic corrections. The confidence intervals of the four fits for the exponent v are narrow and overlap. The fit based on one relevant field and one marginal field is slightly more advantageous in comparison to the fits based on a relevant field and irrelevant field. The calculations were carried out by two different programs that produced close results, each one within the error bars of the other.
机译:我们在量子霍尔效应的高原-高原跃迁的Chalker-Coddington网络模型中,通过数值计算了定位长度指数v和最多两个次导的有限尺寸指数。我们还进行了对数校正。指数v的四个拟合的置信区间狭窄且重叠。与基于相关字段和不相关字段的拟合相比,基于一个相关字段和一个边际字段的拟合稍有优势。计算是由两个产生接近结果的不同程序进行的,每个程序都在另一个的误差条内。

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