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Systematics of properties of the electron gas in deep-etched quantum wires

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An efficient method is developed for an iterative solution of the Poisson and Schro¿dinger equations, which allows systematic studies of the properties of the electron gas in linear deep-etched quantum wires. A much simpler two-dimensional (2D) approximation is developed that accurately reproduces the results of the 3D calculations. A 2D Thomas-Fermi approximation is then derived, and shown to give a good account of average properties. Further, we prove that an analytic form due to Shikin et al. is a good approximation to the electron density given by the self-consistent methods.

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MARTORELL DOMENECH, Juan, SPRUNG, Donald w. l.. Systematics of properties of the electron gas in deep-etched quantum wires. _Physical Review B_. 1996. Vol. 54, núm. 11, pàgs. 11386-11396. [consulta: 25 de febrer de 2026]. ISSN: 0163-1829. [Disponible a: https://hdl.handle.net/2445/10466]

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