Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the energetic origin of self-limiting trenches formed around Ge/Si
  quantum dots   At high growth temperatures, the misfit strain at the boundary of Ge quantum
dots on Si(001) is relieved by formation of trenches around the base of the
islands. The depth of the trenches has been observed to saturate at a level
that depends on the base-width of the islands. Using finite element
simulations, we show that the self-limiting nature of trench depth is due to a
competition between the elastic relaxation energy gained by the formation of
the trench and the surface energy cost for creating the trench. Our simulations
predict a linear increase of the trench depth with the island radius, in
quantitative agreement with the experimental observations of Drucker and
coworkers.

22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat