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Solitons in a two-dimensional electron gas
Affiliation:1. INRAE, Université de Reims Champagne Ardenne, FARE, UMR A 614, 51100 Reims, France;2. Plant and Soil Science Section, Department of Plant and Environmental Sciences, Faculty of Science, University of Copenhagen, 1871 Frederiksberg, Denmark;3. INRAE, Université de Liège, Université de Lille, Université de Picardie Jules Verne, BioEcoAgro, 02000 Barenton-Bugny, France;4. Université de Reims Champagne Ardenne, INRAE, FARE, UMR A 614, 51097 Reims, France
Abstract:The non-linear spectrum of a two-dimensional electron gas (2-DEG) formed at the interface of a heterostructure is investigated. This spectrum is found to contain a new type of localized excitation exhibiting soliton behavior. A matrix formulation of the model equations permits the extraction of the equation of evolution in space for these excitations. Results are presented for the boundary value problem excited by temporal Gaussian pulses.
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