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Theoretical investigation of how edge states are destroyed in disordered mesoscopic samples

机译:关于在无序介观样品中如何破坏边缘状态的理论研究

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We report theoretical investigations on how edge states are destroyed in disordered mesoscopic samples by calculating a "phase diagram" in terms of energy versus disorder strength (E,W), and magnetic Held versus disorder strength (B,W), in the integer quantum Hall regime. It is found that as the disorder strength W increases, edge states are destroyed one by one if transmission eigenchannels are used to characterize the edge states. Near the insulating regime, transmission eigenchannels are closed one by one in the same order as edge states are destroyed. To identify those edge states which have survived disorder, we introduce a generalized current density that can be calculated and visualized.
机译:我们通过在整数量子中计算能量与无序强度(E,W)和磁保持与无序强度(B,W)方面的“相图”,报告了有关无序介观样品中边缘状态如何被破坏的理论研究。霍尔政权。已经发现,随着无序强度W的增加,如果使用传输特征信道表征边缘状态,则边缘状态被一一破坏。在绝缘状态附近,传输本征通道以与破坏边缘状态相同的顺序一一封闭。为了识别那些能够幸存下来的边缘状态,我们引入了可以计算和可视化的广义电流密度。

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