scholarly journals GENERALIZED KINETIC MODEL OF GROWTH OF TWO- AND ZERO-DIMENSIONAL STRUCTURES OF SILICON AND GERMANIUM

Author(s):  
Kirill Lozovoy ◽  
◽  
Vladimir Dirko ◽  

In this work, a comprehensive consideration of the influence of the dependence of elastic stresses and surface energies on the thickness of the deposited material on the epitaxial formation of two-dimensional layers and quantum dots by the Stranski–Krastanow mechanism is carried out.

The Analyst ◽  
2021 ◽  
Author(s):  
Qianqian Zhao ◽  
Wenrong Cai ◽  
Bao-Zhu Yang ◽  
Zhengzhi Yin ◽  
Datong Wu ◽  
...  

Well dispersed chiral Ag2S quantum dots (Ag2S QDs) were facilely synthesized by using N-acetyl-L-cysteine (NALC) as the chiral ligand, which were loaded onto the nanosheets of two-dimensional (2D) few-layer carbon...


2021 ◽  
Vol 118 (4) ◽  
pp. 044002
Author(s):  
F. van Riggelen ◽  
N. W. Hendrickx ◽  
W. I. L. Lawrie ◽  
M. Russ ◽  
A. Sammak ◽  
...  

2014 ◽  
Vol 140 (8) ◽  
pp. 084701 ◽  
Author(s):  
Justin R. Caram ◽  
Haibin Zheng ◽  
Peter D. Dahlberg ◽  
Brian S. Rolczynski ◽  
Graham B. Griffin ◽  
...  

2017 ◽  
Vol 147 (5) ◽  
pp. 1041-1089 ◽  
Author(s):  
Georgy Kitavtsev ◽  
Stephan Luckhaus ◽  
Angkana Rüland

In this paper we are interested in the microscopic modelling of a two-dimensional two-well problem that arises from the square-to-rectangular transformation in (two-dimensional) shape-memory materials. In this discrete set-up, we focus on the surface energy scaling regime and further analyse the Hamiltonian that was introduced by Kitavtsev et al. in 2015. It turns out that this class of Hamiltonians allows for a direct control of the discrete second-order gradients and for a one-sided comparison with a two-dimensional spin system. Using this and relying on the ideas of Conti and Schweizer, which were developed for a continuous analogue of the model under consideration, we derive a (first-order) continuum limit. This shows the emergence of surface energy in the form of a sharp-interface limiting model as well the explicit structure of the minimizers to the latter.


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