Percolation-Type Description of the Metal-Insulator Transition in Two Dimensions

Yigal Meir
Phys. Rev. Lett. 83, 3506 – Published 25 October 1999
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Abstract

A simple noninteracting-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 in the metallic phase, the linear dependence of the exponent on density, the e2/h scale of the critical resistance, the quenching of the metallic phase by a parallel magnetic field, and the nonmonotonic dependence of the critical density on a perpendicular magnetic field, can be explained by the model.

  • Received 27 April 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.3506

©1999 American Physical Society

Authors & Affiliations

Yigal Meir

  • Department of Physics, Ben-Gurion University, Beer Sheva 84105, Israel

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Issue

Vol. 83, Iss. 17 — 25 October 1999

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