Multiple mobility edges in a 1D Aubry chain with Hubbard interaction in presence of electric field: Controlled electron transport |
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| Affiliation: | 1. Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Sector-I, Block-AF, Bidhannagar, Kolkata-700 064, India;2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata-700 108, India;1. AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, 30-059 Kraków, Poland;2. AGH University of Science and Technology, Academic Centre for Materials and Nanotechnology, al. Mickiewicza 30, Kraków, Poland;1. Centro de Investigación en Materiales Avanzados, S.C. (CIMAV), Chihuahua/Monterrey, 120 Avenida Miguel de Cervantes, 31109 Chihuahua, Mexico;2. Centro de Investigación y de Estudios Avanzados del IPN (CINVESTAV) Querétaro, Libramiento Norponiente 2000, Fracc. Real de Juriquilla, 76230 Querétaro, Mexico;3. Chernivtsi National University, Kotsyubynsky Str. 2, 58012 Chernivtsi, Ukraine;1. College of Physics and Information Technology, Shaanxi Normal University, Xian 710119, Shaanxi, PR China;2. State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin 150001, Heilongjiang, PR China;1. Departamento de Física e Química, Universidade Estadual Paulista, 15385-000 Ilha Solteira, São Paulo, Brazil;2. Instituto de Geociências e Ciências Exatas – IGCE, Universidade Estadual Paulista, Departamento de Física, 13506-970 Rio Claro, São Paulo, Brazil;3. Instituto de Física, Universidade Federal Fluminense, 24210-340 Niterói, RJ, Brazil;1. Instituto de Física, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia;2. Instituto de Física, Universidade Federal de Alagoas, Maceió-AL 57072-970, Brazil;3. Instituto de Física, Universidade Estadual de Campinas - Unicamp, Campinas - SP 13083-859, Brazil |
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| Abstract: | Electronic behavior of a 1D Aubry chain with Hubbard interaction is critically analyzed in presence of electric field. Multiple energy bands are generated as a result of Hubbard correlation and Aubry potential, and, within these bands localized states are developed under the application of electric field. Within a tight-binding framework we compute electronic transmission probability and average density of states using Green's function approach where the interaction parameter is treated under Hartree–Fock mean field scheme. From our analysis we find that selective transmission can be obtained by tuning injecting electron energy, and thus, the present model can be utilized as a controlled switching device. |
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| Keywords: | Mobility edge Aubry chain Hubbard interaction Electric field Hartree–Fock mean field theory Green's function approach. |
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