Curvature-induced bound states and coherent electron transport on the surface of a truncated cone |
| |
| Affiliation: | 1. Key Laboratory of Modern Acoustics, Department of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;2. Department of Physics, Nanjing University, Nanjing 210093, China;3. Department of Physics, School of Science, Linyi University, Linyi 276005, China;4. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China;5. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China;1. Shahrekord University of medical Sciences, Shahrekord, Iran;2. Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, Iran;3. Mechanical Engineering Group, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran;4. Physics Department, Shiraz University, Shiraz 71454, Iran;1. College of Science, Xian University of Science and Technology, Xian 710054, Shaanxi, PR China;2. Shaanxi Key Laboratory of Condensed Matter Structures and Properties, Northwestern Polytechnical University, Xian 710129, Shaanxi, PR China;1. Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel;2. Institute for Theoretical Physics, University of Leipzig, Vor dem Hospitaltore 1, D-04103 Leipzig, Germany;3. Department of Physics, Harvard University, Cambridge, MA 02138, USA;1. MOE Key Laboratory for Non-Equilibrium Synthesis and Modulation of Condensed Matter, Department of Applied Physics, Science of School, Xi''an Jiaotong University, Xi''an 710049, China;2. School of Physics and Telecommunication Engineering, Shaanxi University of Technology, Hanzhong 723001, China |
| |
| Abstract: | We study the curvature-induced bound states and the coherent transport properties for a particle constrained to move on a truncated cone-like surface. With longitudinal hard wall boundary condition, the probability densities and spectra energy shifts are calculated, and are found to be obviously affected by the surface curvature. The bound-state energy levels and energy differences decrease as increasing the vertex angle or the ratio of axial length to bottom radius of the truncated cone. In a two-dimensional (2D) GaAs substrate with this geometric structure, an estimation of the ground-state energy shift of ballistic transport electrons induced by the geometric potential (GP) is addressed, which shows that the fraction of the ground-state energy shift resulting from the surface curvature is unnegligible under some region of geometric parameters. Furthermore, we model a truncated cone-like junction joining two cylinders with different radii, and investigate the effect of the GP on the transmission properties by numerically solving the open-boundary 2D Schrödinger equation with GP on the junction surface. It is shown that the oscillatory behavior of the transmission coefficient as a function of the injection energy is more pronounced when steeper GP wells appear at the two ends of the junction. Moreover, at specific injection energy, the transmission coefficient is oscillating with the ratio of the cylinder radii at incoming and outgoing sides. |
| |
| Keywords: | Bound state Coherent transport Curvature-induced Geometric potential Truncated cone |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
