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Meta-Percolation and Metal-Insulator Transition in Two Dimensions

1999/04/27 by Junren Shi, Song He, Shi, Junren +3
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/9904393

4 pages, 5 figures

arxiv created 1999/04/27 · arxiv updated 2009/11/30

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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