Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-07-19
Low Temp. Phys. v. 29, 45-54 (2003) [Russian Ref.: Fiz. Nizk. Temp. v. 29, 58-70 (2003).]
Physics
Condensed Matter
Disordered Systems and Neural Networks
Revtex4, 12 pages, 3 eps figures. Submitted for publication
Scientific paper
10.1063/1.1542377
The conductance of a disordered finite-size electron system is calculated by reducing the initial dynamic problem of arbitrary dimensionality to strictly one-dimensional problems for one-particle mode propagators. The metallic ground state of a two-dimensional conductor, which is considered as a limiting case of the actually three-dimensional quantum waveguide, is shown to result from its multi-modeness. On lowering the waveguide thickness, in practice, e.g., due to application of the ``pressing'' potential (depletion voltage), the electron system undergoes a set of continuous phase transitions connected with the discrete change in the number of extended modes. The closing of the last current-carrying mode is interpreted as the electron system transition from metallic to dielectric state. The results obtained agree qualitatively with the observed ``anomalies'' of the resistance of different electron and hole systems.
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