| Title: | Effective topological charge cancelation mechanism |
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| Authors: | ID Mesarec, Luka (Author)
ID Góźdź, Wojciech (Author)
ID Iglič, Aleš (Author)
ID Kralj, Samo (Author) |
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| Files: |  Scientific_Reports_2016_Mesarec_et_al._Effective_Topological_Charge_Cancelation_Mechanism.pdf (2,15 MB)
MD5: 9A7CC422DE7002DDB5876344883269E5
 http://www.nature.com/articles/srep27117
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | Topological defects (TDs) appear almost unavoidably in continuous symmetry breaking phase transitions. The topological origin makes their key features independent of systems’ microscopic details; therefore TDs display many universalities. Because of their strong impact on numerous material properties and their significant role in several technological applications it is of strong interest to find simple and robust mechanisms controlling the positioning and local number of TDs. We present a numerical study of TDs within effectively two dimensional closed soft films exhibiting in-plane orientational ordering. Popular examples of such class of systems are liquid crystalline shells and various biological membranes. We introduce the Effective Topological Charge Cancellation mechanism controlling localised positional assembling tendency of TDs and the formation of pairs {defect, antidefect} on curved surfaces and/or presence of relevant “impurities” (e.g. nanoparticles). For this purpose, we define an effective topological charge Δmeff consisting of real, virtual and smeared curvature topological charges within a surface patch Δς identified by the typical spatially averaged local Gaussian curvature K. We demonstrate a strong tendency enforcing Δmeff → 0 on surfaces composed of Δς exhibiting significantly different values of spatially averaged K. For Δmeff ≠ 0 we estimate a critical depinning threshold to form pairs {defect, antidefect} using the electrostatic analogy. |
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| Keywords: | topological defects, topological charge, numerical studies, orientational ordering, nematic liquid crystals, liquid crystalline shells, biological membranes, nanoparticles, Gaussian curvature, electrostatic analogy, annihilation, topology |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2016 |
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| Number of pages: | str. 1-9 |
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| Numbering: | Letn. 6 |
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| PID: | 20.500.12556/DKUM-66394  |
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| ISSN: | 2045-2322 |
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| UDC: | 515.1 |
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| ISSN on article: | 2045-2322 |
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| COBISS.SI-ID: | 22256136 |
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| DOI: | 10.1038/srep27117 |
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| NUK URN: | URN:SI:UM:DK:HNWZJJU0 |
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| Publication date in DKUM: | 23.06.2017 |
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| Views: | 1141 |
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| Downloads: | 349 |
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| Metadata: |    |
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| Categories: | Misc.
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