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Transport properties of the two-dimensional electron gas in wide AlP quantum wells including temperature and correlation effects
Affiliation:1. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Research Institute for Applied Physics and Astronomy, University of Tabriz, Tabriz, Iran;2. Young Researchers Club, Shahre Kord Branch, Islamic Azad University, Shahre Kord, Iran;1. School of Astronautics, Harbin Institute of Technology, PO Box 137, Harbin 150001, PR China;2. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China
Abstract:We investigate the mobility, magnetoresistance and scattering time of a quasi-two-dimensional electron gas in a GaP/AlP/GaP quantum well of width L>Lc=45.7 Å at zero and finite temperatures. We consider the interface-roughness and impurity scattering, and study the dependence of the mobility, the resistance and scattering time ratio on the carrier density and quantum well width for different values of the impurity position and temperature using different approximations for the local-field correction. In the case of zero temperature and Hubbard local-field correction our results reduce to those of Gold and Marty (Phys. Rev. B. 76 (2007) 165309) [3]. We also study the correlation and multiple scattering effects on the total mobility and the critical density for a metal–insulator transition.
Keywords:AlP quantum wells  Magnetoresistance  Scattering time  Temperature effect
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