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Green’s function approach to transport in quantum wires with rough surfaces |
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| Authors: | L Sheng D Y Xing Z D Wang Jinming Dong |
| Institution: | 1. National Laboratory of Solid State Microstructure and Institute of Solid State Physics, Nanjing University, Nanjing, People’s Republic of China 2. Department of Physics, The University of Hong Kong, Hong Kong 3. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, People’s Republic of China 4. Department of Physics, Nanjing University, Nanjing, People’s Republic of China |
| Abstract: | By including the scattering from bulk impurities and rough surface, a Green’s function approach to transport in a quasi-one-dimensional cylindrical wire is presented. Taking into account the quantum size effects (QSE), we calculate the one-particle Green’s function and the electrical conductivity along a quantum wire, yielding a new formula for the conductivity in quantum wires. It is shown that the conductivity exhibits certain oscillation in the region of very small radius of wires where the QSE are manifestly important, and its envelope decreases with decreasing the radius. |
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