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Simulation of inhomogeneous strain in Ge-Si core-shell nanowires |
Yuhui HE1, Yuning ZHAO1, Chun FAN2, Xiaoyan LIU1, Ruqi HAN1() |
1. Institute of Microelectronics, Peking University, Beijing 100871, China; 2. Computer Center of Peking University, Beijing 100871, China |
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Abstract This paper studies the elastic deformation field in lattice-mismatched Ge-Si core-shell nanowires (NWs). Infinite wires with a cylindrical cross section under the assumption of translational symmetry are considered. The strain distributions are found by minimizing the elastic energy per unit cell using finite element method. This paper finds that the trace of the strain is discontinuous with a simple, almost piecewise variation between core and shell, whereas the individual components of the strain can exhibit complex variations. The simulation results are prerequisite of strained band structure calculation, and pave a way for further investigation of strain effect on the related transport property simulation.
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Keywords
core-shell nanowire
strain
continuum elasticity
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Corresponding Author(s):
HAN Ruqi,Email:hanrq@ime.pku.edu.cn
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Issue Date: 05 September 2009
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1 |
Lauhon L J, Gudiksen M S, Wang D, Lieber C M. Epitaxial core-shell and core-multishell nanowire heterostructures. Nature , 2002, 420(6911): 57–61 doi: 10.1038/nature01141
|
2 |
Lu W, Xiang J, Timko B P, Wu Y, Lieber C M. One-dimensional hole gas in germanium/silicon nanowire heterostructures. Proceedings of the National Academy of Sciences of the United States of America , 2005, 102(29): 10046–10051 doi: 10.1073/pnas.0504581102
|
3 |
Lin H M, Chen Y L, Yang J, Liu Y C, Yin K M, Kai J J, Chen F R, Chen L C, Chen Y F, Chen C C. Synthesis and characterization of core-shell GaP@GaN and GaN@GaP nanowires. Nano Letters , 2003, 3(4): 537–541 doi: 10.1021/nl0340125
|
4 |
Tateno K, Gotoh H, Watanabe Y. GaAs/AlGaAs nanowires capped with AlGaAs layers on GaAs(311)B substrates. Applied Physics Letters , 2004, 85(10): 1808–1810 doi: 10.1063/1.1789234
|
5 |
Sk?ld N, Karlsson L S, Larsson M W, Pistol M E, Seifert W, Tragardh J, Samuelson L. Growth and optical properties of strained GaAs-GaxIn1-xP core-shell nanowires. Nano Letters , 2005, 5(10): 1943–1947
|
6 |
Xiang J, Lu W, Hu Y, Wu Y, Yan H, Lieber C M. Ge/Si nanowire heterostructures as high-performance field-effect transistors. Nature , 2006, 441(7092): 489–493 doi: 10.1038/nature04796
|
7 |
Liang G, Xiang J, Kharche N, Klimeck G, Lieber C M, Lundstrom M. Performance analysis of a Ge/Si core/shell nanowire field-effect transistor. Nano Letters , 2007, 7(3): 642–646 doi: 10.1021/nl062596f
|
8 |
Liu X W, Hu J, Pan B C. The composition-dependent mechanical properties of Ge/Si core-shell nanowires. Physica E: Low-dimensional Systems and Nanostructures , 2008, 40(10): 3042–3048 doi: 10.1016/j.physe.2008.03.011
|
9 |
De Caro L, Tapfer L. Elastic lattice deformation of semiconductor heterostructures grown on arbitrarily oriented substrate surfaces. Physical Review B , 1993, 48(4): 2298–2303 doi: 10.1103/PhysRevB.48.2298
|
10 |
Landau L, Lifshitz E. Theory of Elasticity. New York: Pergamon, 1959
|
11 |
Pryor C, Kim J, Wang L W, Williamson A J, Zunger A. Comparison of two methods for describing the strain profiles in quantum dots. Journal of Applied Physics , 1998, 83(5): 2548–2550 doi: 10.1063/1.366631
|
12 |
Jogai B. Three-dimensional strain field calculations in coupled InAs/GaAs quantum dots. Journal of Applied Physics , 2000, 88(9): 5050–5055 doi: 10.1063/1.1313780
|
13 |
Cleland A N. Foundations of Nanomechanics. Berlin: Springer, 2003
|
14 |
S?ndergaard N, He Y H, Fan C, Han R Q, Guhr T, Xu H Q. Strain distributions in lattice mismatched semiconductor core-shell nanowires. Journal of Vacuum Science and Technology B , 2009, 27(2): 827–830 doi: 10.1116/1.3054200
|
15 |
Zienkiewicz O C, Taylor R L. The Finite Element Method. Maidenhead: McGraw-Hill, 1994
|
16 |
Vurgaftman I, Meyer J R, Ram-Mohan L R. Band parameters for III-V compound semiconductors and their alloys. Journal of Applied Physics , 2001, 89(11): 5815–5875 doi: 10.1063/1.1368156
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