Curvature-controlled topological defects
ID Mesarec, Luka (Author), ID Kurioz, Pavlo (Author), ID Iglič, Aleš (Author), ID Góźdź, Wojciech (Author), ID Kralj, Samo (Author)

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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.

Keywords:topological defects, Gaussian curvature, self-assembling, crystal growth nucleation
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FE - Faculty of Electrical Engineering
Publication status in journal:Published
Article version:Publisher's version of article
Number of pages:11 str.
Numbering:Vol. 7, iss. 6, art. 153
PID:20.500.12556/RUL-131089 This link opens in a new window
ISSN on article:2073-4352
DOI:10.3390/cryst7060153 This link opens in a new window
COBISS.SI-ID:11753556 This link opens in a new window
Publication date in RUL:22.09.2021
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Shortened title:Crystals
COBISS.SI-ID:36677893 This link opens in a new window


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:01.06.2017

Secondary language

Keywords:topološki defekti, Gaussova ukrivljenost, samourejanje, tvorba in rast kristalov


Funder:Drugi - Drug financer ali več financerjev
Funding programme:National Science Center
Project number:2015/19/B/ST3/03122

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P2-0232
Name:Funkcije in tehnologije kompleksnih sistemov

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P1-0099
Name:Fizika mehkih snovi, površin in nanostruktur

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