Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation

doi:10.1088/1674-1056/ab4581

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 116103-116103.doi: 10.1088/1674-1056/ab4581

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation

Feng-Lin Deng(邓凤麟), Xiang-Sheng Hu(胡湘生), Shao-Feng Wang(王少峰)

1 Department of Physics and Institute for Structure and Function, Chongqing University, Chongqing 400030, China;
2 Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2019-08-18 修回日期:2019-09-11 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Shao-Feng Wang E-mail:sfwang@cqu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11874093).

Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation

Feng-Lin Deng(邓凤麟)¹, Xiang-Sheng Hu(胡湘生)², Shao-Feng Wang(王少峰)¹

1 Department of Physics and Institute for Structure and Function, Chongqing University, Chongqing 400030, China;
2 Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2019-08-18 Revised:2019-09-11 Online:2019-11-05 Published:2019-11-05
Contact: Shao-Feng Wang E-mail:sfwang@cqu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11874093).

摘要/Abstract

摘要： A one-dimensional (1D) self-organized array composed of dislocation and anti-dislocation is analytically investigated in the frame of Peierls theory. From the exact solution of the Peierls equation, it is found that there exists strong neutralizing effect that makes the Burgers vector of each individual dislocation in the equilibrium array smaller than that of an isolated dislocation. This neutralizing effect is not negligible even though dislocations are well separated. For example, when the distance between the dislocation and the anti-dislocation is as large as ten times of the dislocation width, the actual Burgers vector is only about 80% of an isolated dislocation. The neutralizing effect originates physically from the power-law asymptotic behavior that enables two dislocations interfere even though they are well separated.

关键词: dislocation array, neutralizing, exact solution

Abstract: A one-dimensional (1D) self-organized array composed of dislocation and anti-dislocation is analytically investigated in the frame of Peierls theory. From the exact solution of the Peierls equation, it is found that there exists strong neutralizing effect that makes the Burgers vector of each individual dislocation in the equilibrium array smaller than that of an isolated dislocation. This neutralizing effect is not negligible even though dislocations are well separated. For example, when the distance between the dislocation and the anti-dislocation is as large as ten times of the dislocation width, the actual Burgers vector is only about 80% of an isolated dislocation. The neutralizing effect originates physically from the power-law asymptotic behavior that enables two dislocations interfere even though they are well separated.

Key words: dislocation array, neutralizing, exact solution

中图分类号: (Theories and models of crystal defects)

61.72.Bb

邓凤麟, 胡湘生, 王少峰. Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation[J]. 中国物理B, 2019, 28(11): 116103-116103.

Feng-Lin Deng(邓凤麟), Xiang-Sheng Hu(胡湘生), Shao-Feng Wang(王少峰). Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation[J]. Chin. Phys. B, 2019, 28(11): 116103-116103.

参考文献 18

[1]	Hirth J P and Lothe J 1982 Theory of Dislocations (New York:Wiley)
[2]	Kroupa F 1966 J. Phys. Colloques 27 C3
[3]	Ma J, Alfé D, Michaelides A and Wang E 2009 Phys. Rev. B 80 033407
[4]	Banhart F, Kotakoski J and Krasheninnikov A V 2011 ACS Nano 5 26 doi: 10.1021/nn102598m
[5]	Wang S F, Yao Y and Wang R 2015 Eur. Phys. J. B 88 226 doi: 10.1140/epjb/e2015-60416-7
[6]	Bennetto J, Nunes R W and Vanderbilt D 1997 Phys. Rev. Lett. 79 245 doi: 10.1103/PhysRevLett.79.245
[7]	Miyata M and Fujiwara T 2001 Phys. Rev. B 63 045206 doi: 10.1103/PhysRevB.63.045206
[8]	Pizzagalli L and Beauchamp P 2004 Phil. Mag. Lett. 84 729 doi: 10.1080/09500830500041377
[9]	Lehto N and Öberg N 1998 Phys. Rev. Lett. 80 5568 doi: 10.1103/PhysRevLett.80.5568
[10]	Peierls R 1940 Proc. Phys. Soc. 52 34 doi: 10.1088/0959-5309/52/1/305
[11]	Wang S F, Wu X Z and Wang Y F 2007 Phys. Scr. 76 593 doi: 10.1088/0031-8949/76/5/029
[12]	van der Merwe J H 1950 Proc. Phys. Soc. Sec. A 63 616
[13]	Yao Y G, Wang T C and Wang C Y 1999 Phys. Rev. B 59 8232 doi: 10.1103/PhysRevB.59.8232
[14]	Nabarro F 1947 Proc. Phys. Soc. 59 256 doi: 10.1088/0959-5309/59/2/309
[15]	Vítek V and Chrisrian J W 1970 Rep. Prog. Phys. 33 307 doi: 10.1088/0034-4885/33/1/307
[16]	Wang S F 2002 Phys. Rev. B 65 094111 doi: 10.1103/PhysRevB.65.094111
[17]	Wang S F 2015 Phil. Mag. 95 3768 doi: 10.1080/14786435.2015.1096027
[18]	Lehtinen O, Kurasch S, Krasheninnikov A and Kaiser U 2013 Nat. Commun. 4 2098 doi: 10.1038/ncomms3098

Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation

Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 18

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Cui-Xian Guo(郭翠仙) and Shu Chen(陈澍). Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions[J]. 中国物理B, 2022, 31(1): 10313-010313.
[2]	柴若霖, 谢琼涛, 刘小良. Exact scattering states in one-dimensional Hermitian and non-Hermitian potentials[J]. 中国物理B, 2020, 29(9): 90301-090301.
[3]	杨毅, 蔡绍洪, 隆正文, 陈浩, 龙超云. Exact solution of the (1+2)-dimensional generalized Kemmer oscillator in the cosmic string background with the magnetic field[J]. 中国物理B, 2020, 29(7): 70302-070302.
[4]	谢琼涛, 刘小良. Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field[J]. 中国物理B, 2020, 29(6): 60305-060305.
[5]	董晓菲, 谢幼飞, 陈庆虎. Unified approach to various quantum Rabi models witharbitrary parameters[J]. 中国物理B, 2020, 29(2): 20302-020302.
[6]	刘汉泽, 张丽香. Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation[J]. 中国物理B, 2018, 27(4): 40202-040202.
[7]	谭鸿威, 杨锦波, 张靖仪, 何唐梅. The global monopole spacetime and its topological charge[J]. 中国物理B, 2018, 27(3): 30401-030401.
[8]	谭志中. Recursion-transform method and potential formulae of the m×n cobweb and fan networks[J]. 中国物理B, 2017, 26(9): 90503-090503.
[9]	黄旭初. Exact solutions of an Ising spin chain with a spin-1 impurity[J]. 中国物理B, 2017, 26(3): 37501-037501.
[10]	谭志中. Two-point resistance of an m×n resistor network with an arbitrary boundary and its application in RLC network[J]. 中国物理B, 2016, 25(5): 50504-050504.
[11]	Hakan Ciftci, H F Kisoglu. Application of asymptotic iteration method to a deformed well problem[J]. 中国物理B, 2016, 25(3): 30201-030201.
[12]	Ozkan Guner, Ahmet Bekir. Bright and dark soliton solutions for some nonlinear fractional differential equations[J]. 中国物理B, 2016, 25(3): 30203-030203.
[13]	齐岩, 吕松玮, 杜安, 于乃森. Interplay between spin frustration and magnetism in the exactly solved two-leg mixed spin ladder[J]. 中国物理B, 2016, 25(11): 117501-117501.
[14]	刘彦霞, 叶君, 李源远, 张云波. Improvement of variational approach in an interacting two-fermion system[J]. 中国物理B, 2015, 24(8): 86701-086701.
[15]	谭志中. Recursion-transform approach to compute the resistance of a resistor network with an arbitrary boundary[J]. 中国物理B, 2015, 24(2): 20503-020503.