论文标题

在2D手性统一类中的金属绝缘体过渡

Metal-insulator transition in a 2D system of chiral unitary class

论文作者

Karcher, Jonas F., Gruzberg, Ilya A., Mirlin, Alexander D.

论文摘要

我们通过结合有限尺寸的缩放,传输,状态的密度和多重差异研究,对Anderson Metal-Metal-Metal-Metal-Metal-Metal-Metultrator跃迁(MIT)进行数值研究。结果与Sigma-Model Renoralization Group理论一致,其中MIT是由涡流的增殖驱动的。我们确定相图,并在MIT的临界线上找到几个参数的明显非宇宙性,这与分析预测的慢速重归于MIT的最终固定点。本地化长度指数$ν$估计为$ν= 1.55 \ pm 0.10 $。

We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry class AIII by combining finite-size scaling, transport, density of states, and multifractality studies. The results are in agreement with the sigma-model renormalization-group theory, where MIT is driven by proliferation of vortices. We determine the phase diagram and find an apparent non-universality of several parameters on the critical line of MIT, which is consistent with the analytically predicted slow renormalization towards the ultimate fixed point of the MIT. The localization-length exponent $ν$ is estimated as $ν= 1.55 \pm 0.10$.

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