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Meta-Percolation and Metal-Insulator Transition in Two Dimensions

Junren Shi·Song He·X. C. Xie
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Abstract

According to the scaling theory of localization, all quantum electronic states are localized in two-dimensional (2D) systems. One consequence of the theory is that there is no quantum percolation transition in 2D. However, in a real system at a finite temperature, electron phase coherent length is finite and the system is between quantum and classical. We find, in such a 2D system, a metal-insulator transition (MIT) caused by a novel type of percolation, meta-percolation. The relevance to recently observed 2D MIT is also discussed.

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Junren Shi, Song He, X. C. Xie. 1999-04-27. Meta-Percolation and Metal-Insulator Transition in Two Dimensions. https://arxiv.org/abs/cond-mat/9904393

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