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The metal-insulator transition in 2D systems at T = 0: one-particle approach | | Yu. V. Tarasov
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19 Jul 2002 | | Journal: | Low Temp. Phys. v. 29, 45-54 (2003) [Russian Ref.: Fiz. Nizk. Temp. v. 29, 58-70 (2003).] DOI: 10.1063/1.1542377 | | Subject: | Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect | cond-mat.dis-nn cond-mat.mes-hall | | Abstract: | 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. | | Source: | arXiv, cond-mat/0207480 | | Services: | Forum | Review | PDF | Favorites | |
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