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"Unusual" metals in two dimensions: one-particle model of the metal-insulator transition at T=0

Yu. V. Tarasov
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Abstract

The conductance of disordered nano-wires at T=0 is calculated in one-particle approximation by reducing the original multi-dimensional problem for an open bounded system to a set of exactly one-dimensional non-Hermitian problems for mode propagators. Regarding two-dimensional conductor as a limiting case of three-dimensional disordered quantum waveguide, the metallic ground state is shown to result from its multi-modeness. On thinning the waveguide (in practice, e. g., by means of the ``pressing'' external electric field) the electron system undergoes a continuous phase transition from metallic to insulating state. The result predicted conform qualitatively to the observed anomalies of the resistance of different planar electron and hole systems.

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Yu. V. Tarasov. 2002-03-25. "Unusual" metals in two dimensions: one-particle model of the metal-insulator transition at T=0. https://doi.org/10.1088/0953-8984%2F14%2F20%2F103

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