{ "id": "cond-mat/0207480", "version": "v1", "published": "2002-07-19T11:12:57.000Z", "updated": "2002-07-19T11:12:57.000Z", "title": "The metal-insulator transition in 2D systems at T = 0: one-particle approach", "authors": [ "Yu. V. Tarasov" ], "comment": "Revtex4, 12 pages, 3 eps figures. Submitted for publication", "journal": "Low Temp. Phys. v. 29, 45-54 (2003) [Russian Ref.: Fiz. Nizk. Temp. v. 29, 58-70 (2003).]", "doi": "10.1063/1.1542377", "categories": [ "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.", "revisions": [ { "version": "v1", "updated": "2002-07-19T11:12:57.000Z" } ], "analyses": { "keywords": [ "2d systems", "one-particle approach", "metal-insulator transition", "initial dynamic problem", "electron system undergoes" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Low Temp. Phys." }, "note": { "typesetting": "RevTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }