Percolation-type description of the metal-insulator transition in two dimensions

Details Percolation-type description of the metal-insulator transition in two dimensions Percolation-type description of the metal-insulator transition in two dimensions

1999-04-26

arxiv.org/abs/cond-mat/9904361v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.83.3506

A simple non-interacting-electron model, combining local quantum tunneling and global classical percolation (due to a finite dephasing time at low temperatures), is introduced to describe a metal-insulator transition in two dimensions. It is shown that many features of the experiments, such as the exponential dependence of the resistance on temperature on the metallic side, the linear dependence of the exponent on density, the $e^2/h$ scale of the critical resistance, the quenching of the metallic phase by a parallel magnetic field and the non-monotonic dependence of the critical density on a perpendicular magnetic field, can be naturally explained by the model.

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