Dependence of elastic strain field on the self-organized ordering of quantum dot superlattices

Author(s):  
Yumin Liu ◽  
Zhongyuan Yu ◽  
Yongzhen Huang
2009 ◽  
Vol 18 (04) ◽  
pp. 561-571 ◽  
Author(s):  
YUMIN LIU ◽  
WENJUAN LU ◽  
ZHONGYUAN YU ◽  
BOYONG JIA ◽  
ZIHUAN XU ◽  
...  

A systematic investigation is given about the effects of the longitudinal and transverse periodic distributions on the elastic strain field. The results show that the influences of the longitudinal and transverse period on the strain field are just opposite, especially for the path along the center-axis of the quantum dots. In the proper conditions, the influence of periodicity on strain field distribution can be partly eliminated. The results demonstrate that when calculating the effect of the strain field on the electronic structure, one must take the quantum dots periodic distribution into account. It is unsuitable to use the isolated quantum dot model in simulating the strain field and evaluate the influence on electronic structure.


1971 ◽  
Vol 49 (16) ◽  
pp. 2181-2186 ◽  
Author(s):  
W. R. Tyson

The energy stored in the elastic strain field of dislocations in hexagonal ice is calculated using anisotropic elasticity and the most complete set of elastic constants available. Ice is elastically fairly isotropic, and it is proposed that the high mobility of dislocations on the basal plane is due to dissociation of perfect dislocations on this plane.


1985 ◽  
Vol 73 (3) ◽  
pp. 551-557 ◽  
Author(s):  
Yu.A. Bityurin ◽  
S.V. Gaponov ◽  
A.A. Gudkov ◽  
V.L. Mironov

2013 ◽  
Vol 592-593 ◽  
pp. 79-82
Author(s):  
Roman Gröger

We introduce a mesoscopic framework that is capable of simulating the evolution of dislocation networks and, at the same time, spatial variations of the stress, strain and displacement fields throughout the body. Within this model, dislocations are viewed as sources of incompatibility of strains. The free energy of a deformed solid is represented by the elastic strain energy that can be augmented by gradient terms to reproduce dispersive nature of acoustic phonons and thus set the length scale of the problem. The elastic strain field that is due to a known dislocation network is obtained by minimizing the strain energy subject to the corresponding field of incompatibility constraints. These stresses impose Peach-Koehler forces on all dislocations and thus drive the evolution of the dislocation network.


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