Meta-Percolation and Metal-Insulator Transition in Two Dimensions

Details Meta-Percolation and Metal-Insulator Transition in Two Dimensions Meta-Percolation and Metal-Insulator Transition in Two Dimensions

1999-04-27

arxiv.org/abs/cond-mat/9904393v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

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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