Small amplitude approximation and stabilities for dislocation motion in superlattice

doi:10.1088/1674-1056/22/4/047807

Abstract Starting from the traveling wave solution, in small amplitude approximation, Sine-Gordon equation can be reduced to a generalized Duffing equation to describe the dislocation motion in superlattice, and the phase plane properties of system phase plane are described in the absence of applied field, the stabilities are also discussed in the presence of applied field. It is pointed out that the separatrix orbit describing the dislocation motion as the kink wave may transfer the energy along the dislocation line, keep its form unchanged, and reveal the soliton wave properties of the dislocation motion. It is stressed that the dislocation motion process is the energy transfer and release process, and the system is stable when its energy is minimum.

Keywords: superlattice Sine-Gordon equation Duffing equation stabilities dislocation dynamics

Received: 01 June 2012
Revised: 15 July 2012
Accepted manuscript online:

PACS:	78.67.-n	(Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures)
	74.78.Fk	(Multilayers, superlattices, heterostructures)
	73.21.Cd	(Superlattices)
	81.05.Xj	(Metamaterials for chiral, bianisotropic and other complex media)

Fund: Project supported by the Guangdong Provincial Science and Technology Project, China (Grant No. 2012B010100043).

Corresponding Authors: Liu Hua-Zhu
E-mail: 654650052@qq.com

Cite this article:

Liu Hua-Zhu (刘华珠), Luo Shi-Yu (罗诗裕), Shao Ming-Zhu (邵明珠) Small amplitude approximation and stabilities for dislocation motion in superlattice 2013 Chin. Phys. B 22 047807

[1]	Korol A V, Solovyov A V and Greiner W 2008 Nucl. Instrum. Methods Phys. Res. B 266 1173
[2]	Kubankin A S and Nasonov N N 2008 J. Surf. Investigation: X-ray, Synchrotron and Neutron Techniques 2 317
[3]	Zhou C, Bulent S and Richard B 2010 Acta Materialia 58 1565
[4]	Akarapu S, Zbib H M and Bahr D F 2010 Int. J. Plasticity 26 239
[5]	Quek S S, Zhang Y W, Xiang Y and Srolovitz D J 2010 Acta Materialia 58 226
[6]	Terentyev D, Osetsky Yu N and Bacon D J 2010 Scripta Materialia 62 697
[7]	Mei J, Li J, Ni Y and Wang H 2010 Nanoscale Res. Lett. 5 692
[8]	Gao Y, Zhuang Z, Liu Z L, You X C, Zhao X C and Zhang Z H 2011 Int. J. Plasticity 27 1055
[9]	Luo S Y, Shao M Z and Luo X H 2010 Sci. China: Phys. Mech. & Astron. 40 207 (in Chinese)
[10]	Luo S Y, Li H T, Wu M Y, Wang S J, Ling D X, Zhang W F and Shao M Z 2010 Acta Phys. Sin. 2010 59 5766 (in Chinese)
[11]	Luo S Y, Shao M Z and Luo X H 2010 Acta Phys. Sin. 59 2685 (in Chinese)
[12]	Seeger A 1956 Philos. Mag. 1 651

[1]	Strain compensated type II superlattices grown by molecular beam epitaxy Chao Ning(宁超), Tian Yu(于天), Rui-Xuan Sun(孙瑞轩), Shu-Man Liu(刘舒曼), Xiao-Ling Ye(叶小玲), Ning Zhuo(卓宁), Li-Jun Wang(王利军), Jun-Qi Liu(刘俊岐), Jin-Chuan Zhang(张锦川), Shen-Qiang Zhai(翟慎强), and Feng-Qi Liu(刘峰奇). Chin. Phys. B, 2023, 32(4): 046802.
[2]	High-performance extended short-wavelength infrared PBn photodetectors based on InAs/GaSb/AlSb superlattices Junkai Jiang(蒋俊锴), Faran Chang(常发冉), Wenguang Zhou(周文广), Nong Li(李农), Weiqiang Chen(陈伟强), Dongwei Jiang(蒋洞微), Hongyue Hao(郝宏玥), Guowei Wang(王国伟), Donghai Wu(吴东海), Yingqiang Xu(徐应强), and Zhi-Chuan Niu(牛智川). Chin. Phys. B, 2023, 32(3): 038503.
[3]	Growth of high material quality InAs/GaSb type-II superlattice for long-wavelength infrared range by molecular beam epitaxy Fang-Qi Lin(林芳祁), Nong Li(李农), Wen-Guang Zhou(周文广), Jun-Kai Jiang(蒋俊锴), Fa-Ran Chang(常发冉), Yong Li(李勇), Su-Ning Cui(崔素宁), Wei-Qiang Chen(陈伟强), Dong-Wei Jiang(蒋洞微), Hong-Yue Hao(郝宏玥), Guo-Wei Wang(王国伟), Ying-Qiang Xu(徐应强), and Zhi-Chuan Niu(牛智川). Chin. Phys. B, 2022, 31(9): 098504.
[4]	Two-dimensional Sb cluster superlattice on Si substrate fabricated by a two-step method Runxiao Zhang(张润潇), Zi Liu(刘姿), Xin Hu(胡昕), Kun Xie(谢鹍), Xinyue Li(李新月), Yumin Xia(夏玉敏), and Shengyong Qin(秦胜勇). Chin. Phys. B, 2022, 31(8): 086801.
[5]	Precisely controlling the twist angle of epitaxial MoS₂/graphene heterostructure by AFM tip manipulation Jiahao Yuan(袁嘉浩), Mengzhou Liao(廖梦舟), Zhiheng Huang(黄智恒), Jinpeng Tian(田金朋), Yanbang Chu(褚衍邦), Luojun Du(杜罗军), Wei Yang(杨威), Dongxia Shi(时东霞), Rong Yang(杨蓉), and Guangyu Zhang(张广宇). Chin. Phys. B, 2022, 31(8): 087302.
[6]	Wet etching and passivation of GaSb-based very long wavelength infrared detectors Xue-Yue Xu(许雪月), Jun-Kai Jiang(蒋俊锴), Wei-Qiang Chen(陈伟强), Su-Ning Cui(崔素宁), Wen-Guang Zhou(周文广), Nong Li(李农), Fa-Ran Chang(常发冉), Guo-Wei Wang(王国伟), Ying-Qiang Xu(徐应强), Dong-Wei Jiang(蒋洞微), Dong-Hai Wu(吴东海), Hong-Yue Hao(郝宏玥), and Zhi-Chuan Niu(牛智川). Chin. Phys. B, 2022, 31(6): 068503.
[7]	First-principles study of stability of point defects and their effects on electronic properties of GaAs/AlGaAs superlattice Shan Feng(冯山), Ming Jiang(姜明), Qi-Hang Qiu(邱启航), Xiang-Hua Peng(彭祥花), Hai-Yan Xiao(肖海燕), Zi-Jiang Liu(刘子江), Xiao-Tao Zu(祖小涛), and Liang Qiao(乔梁). Chin. Phys. B, 2022, 31(3): 036104.
[8]	Interface effect on superlattice quality and optical properties of InAs/GaSb type-II superlattices grown by molecular beam epitaxy Zhaojun Liu(刘昭君), Lian-Qing Zhu(祝连庆), Xian-Tong Zheng(郑显通), Yuan Liu(柳渊), Li-Dan Lu(鹿利单), and Dong-Liang Zhang(张东亮). Chin. Phys. B, 2022, 31(12): 128503.
[9]	Excellent thermoelectric performance predicted in Sb₂Te with natural superlattice structure Pei Zhang(张培), Tao Ouyang(欧阳滔), Chao Tang(唐超), Chaoyu He(何朝宇), Jin Li(李金), Chunxiao Zhang(张春小), and Jianxin Zhong(钟建新). Chin. Phys. B, 2021, 30(12): 128401.
[10]	Moiré superlattice modulations in single-unit-cell FeTe films grown on NbSe₂ single crystals Han-Bin Deng(邓翰宾), Yuan Li(李渊), Zili Feng(冯子力), Jian-Yu Guan(关剑宇), Xin Yu(于鑫), Xiong Huang(黄雄), Rui-Zhe Liu(刘睿哲), Chang-Jiang Zhu(朱长江), Limin Liu(刘立民), Ying-Kai Sun(孙英开), Xi-Liang Peng(彭锡亮), Shuai-Shuai Li(李帅帅), Xin Du(杜鑫), Zheng Wang(王铮), Rui Wu(武睿), Jia-Xin Yin(殷嘉鑫), You-Guo Shi(石友国), and Han-Qing Mao(毛寒青). Chin. Phys. B, 2021, 30(12): 126801.
[11]	Extended phase diagram of La_1-xCa_xMnO₃ by interfacial engineering Kexuan Zhang(张可璇), Lili Qu(屈莉莉), Feng Jin(金锋), Guanyin Gao(高关胤), Enda Hua(华恩达), Zixun Zhang(张子璕), Lingfei Wang(王凌飞), and Wenbin Wu(吴文彬). Chin. Phys. B, 2021, 30(12): 126802.
[12]	Temperature effects of GaAs/Al_0.45Ga_0.55As superlattices on chaotic oscillation Xiao-Peng Luo(罗晓朋), Yan-Fei Liu(刘延飞), Dong-Dong Yang(杨东东), Cheng Chen(陈诚), Xiu-Jian Li(李修建), and Jie-Pan Ying(应杰攀). Chin. Phys. B, 2021, 30(10): 106805.
[13]	Optical conductivity of twisted bilayer graphene near the magic angle Lu Wen(文露), Zhiqiang Li(李志强), and Yan He(贺言). Chin. Phys. B, 2021, 30(1): 017303.
[14]	Electric gating of the multichannel conduction in LaAlO₃/SrTiO₃ superlattices Shao-Jin Qi(齐少锦), Xuan Sun(孙璇), Xi Yan(严曦), Hui Zhang(张慧), Hong-Rui Zhang(张洪瑞), Jin-E Zhang(张金娥), Hai-Lin Huang(黄海林), Fu-Rong Han(韩福荣), Jing-Hua Song(宋京华), Bao-Gen Shen(沈保根), and Yuan-Sha Chen(陈沅沙). Chin. Phys. B, 2021, 30(1): 017301.
[15]	An artificial synapse by superlattice-like phase-change material for low-power brain-inspired computing Qing Hu(胡庆), Boyi Dong(董博义), Lun Wang(王伦), Enming Huang(黄恩铭), Hao Tong(童浩), Yuhui He(何毓辉), Ming Xu(徐明), Xiangshui Miao(缪向水). Chin. Phys. B, 2020, 29(7): 070701.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Small amplitude approximation and stabilities for dislocation motion in superlattice

Cite this article:

Online attention