Curvature-controlled topological defects
Effectively, two-dimensional (2D) closed films exhibiting in-plane orientational ordering (ordered shells) might be instrumental for the realization of scaled crystals. In them, ordered shells are expected to play the role of atoms. Furthermore, topological defects (TDs) within them would determine their valence. Namely, bonding among shells within an isotropic liquid matrix could be established via appropriate nano-binders (i.e., linkers) which tend to be attached to the cores of TDs exploiting the defect core replacement mechanism. Consequently, by varying configurations of TDs one could nucleate growth of scaled crystals displaying different symmetries. For this purpose, it is of interest to develop a simple and robust mechanism via which one could control the position and number of TDs in such atoms. In this paper, we use a minimal mesoscopic model, where variational parameters are the 2D curvature tensor and the 2D orientational tensor order parameter. We demonstrate numerically the efficiency of the effective topological defect cancellation mechanism to predict positional assembling of TDs in ordered films characterized by spatially nonhomogeneous Gaussian curvature. Furthermore, we show how one could efficiently switch among qualitatively different structures by using a relative volume v of ordered shells, which represents a relatively simple naturally accessible control parameter.
0
2017-07-20 12:45:35
1033
topological defects, Gaussian curvature, self-assembling, crystal growth nucleation
topološki defekti, Gaussova ukrivljenost, samourejanje, tvorba in rast kristalov
r2
Luka
Mesarec
70
Pavlo
Kurioz
70
Aleš
Iglič
70
Wojciech
Góźdź
70
Samo
Kralj
70
ISSN
2
2073-4352
UDK
4
548/549
OceCobissID
13
36677893
COBISS_ID
3
11753556
DOI
15
10.3390/cryst7060153
ISSN pri članku
9
2073-4352
NUK URN
18
URN:SI:UM:DK:BQXPYY0U
Crystals_2017_Mesarec_et_al._Curvature-Controlled_Topological_Defects.pdf
7093753
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2017-07-20 12:45:52
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2017-07-20 12:45:37