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Plasmons in a free-standing nanorod with a two-dimensional parabolic quantum well caused by surface states |
Song Ya-Feng(宋亚峰)a), Lü Yan-Wu(吕燕伍)b), Wen Wei(文伟)c), Liu Xiang-Lin(刘祥林)a), Yang Shao-Yan(杨少延)a), Zhu Qin-Sheng(朱勤生)a)†, and Wang Zhan-Guo(王占国)a) |
a. Key Laboratory of Semiconductor Materials Science, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China;
b. Department of Physics, Beijing Jiaotong University, Beijing 100044, China;
c. State Key Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China |
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Abstract The collective charge density excitations in a free-standing nanorod with a two-dimensional parabolic quantum well are investigated within the framework of Bohm--Pine's random-phase approximation in the two-subband model. The new simplified analytical expressions of the Coulomb interaction matrix elements and dielectric functions are derived and numerically discussed. In addition, the electron density and temperature dependences of dispersion features are also investigated. We find that in the two-dimensional parabolic quantum well, the intrasubband upper branch is coupled with the intersubband mode, which is quite different from other quasi-one-dimensional systems like a cylindrical quantum wire with an infinite rectangular potential. In addition, we also find that higher temperature results in the intersubband mode (with an energy of 12 meV (~ 3 THz)) becoming totally damped, which agrees well with the experimental results of Raman scattering in the literature. These interesting properties may provide useful references to the design of free-standing nanorod based devices.
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Received: 18 October 2011
Revised: 27 April 2012
Accepted manuscript online:
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PACS:
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73.20.Mf
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(Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))
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73.21.Hb
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(Quantum wires)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60976008, 61006004, 61076001, and 10979507), the National Basic Research Program of China (Grant No. A000091109-05), and the National High Technology Research and Development Program of China (Grant No. 2011AA03A101) |
Cite this article:
Song Ya-Feng(宋亚峰), Lü Yan-Wu(吕燕伍), Wen Wei(文伟), Liu Xiang-Lin(刘祥林), Yang Shao-Yan(杨少延), Zhu Qin-Sheng(朱勤生), and Wang Zhan-Guo(王占国) Plasmons in a free-standing nanorod with a two-dimensional parabolic quantum well caused by surface states 2012 Chin. Phys. B 21 057302
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