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Coherent electron transport in a helical nanotube
Affiliation:1. Department of Physics, Nanjing University, Nanjing 210093, China;2. School of Science and Institute of Condensed Matter Physics, Linyi University, Linyi 276005, P.R. China;3. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China;4. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China;1. Key Laboratory of Advanced Civil Engineering Materials (Tongji University), Ministry of Education, Shanghai 201804, China;2. School of Materials Science and Engineering, Tongji University, Shanghai 201804, China;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. 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. 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
Abstract:The quantum dynamics of carriers bound to helical tube surfaces is investigated in a thin-layer quantization scheme. By numerically solving the open-boundary Schrödinger equation in curvilinear coordinates, geometric effect on the coherent transmission spectra is analysed in the case of single propagating mode as well as multimode. It is shown that, the coiling endows the helical nanotube with different transport properties from a bent cylindrical surface. Fano resonance appears as a purely geometric effect in the conductance, the corresponding energy of quasibound state is obviously influenced by the torsion and length of the nanotube. We also find new plateaus in the conductance. The transport of double-degenerate mode in this geometry is reminiscent of the Zeeman coupling between the magnetic field and spin angular momentum in quasi-one-dimensional structure.
Keywords:Thin-layer quantization  Quasi bound state  Transport of double-degenerate mode
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