Curvature-Controlled Topological Defects
| Autor: | Pavlo Kurioz, Luka Mesarec, Wojciech T. Góźdź, Aleš Iglič, Samo Kralj |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Riemann curvature tensor
General Chemical Engineering Geometry 02 engineering and technology Curvature 01 natural sciences topološki defekti Topological defect Inorganic Chemistry symbols.namesake 0103 physical sciences lcsh:QD901-999 Gaussian curvature General Materials Science Gaussova ukrivljenost 010306 general physics Mathematics Mesoscopic physics Valence (chemistry) Condensed matter physics samourejanje Isotropy udc:548/549 021001 nanoscience & nanotechnology Condensed Matter Physics self-assembling topological defects crystal growth nucleation Homogeneous space symbols lcsh:Crystallography tvorba in rast kristalov 0210 nano-technology |
| Zdroj: | Crystals, vol. 7, no. 6, 153, 2017. Crystals, Vol 7, Iss 6, p 153 (2017) Crystals; Volume 7; Issue 6; Pages: 153 |
| ISSN: | 2073-4352 |
| DOI: | 10.3390/cryst7060153 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|