Long-range order in quadrupolar systems on spherical surfaces

Gnidovec, Andraž (author), Čopar, Simon (author)

The interplay between curvature, confinement and ordering on curved manifolds, with anisotropic interactions between building blocks, takes a central role in many fields of physics. In this paper, we investigate the effects of lattice symmetry and local positional order on orientational ordering in systems of long-range interacting point quadrupoles on a sphere in the zero temperature limit. Locally triangular spherical lattices show long-range ordered quadrupolar configurations only for specific symmetric lattices as strong geometric frustration prevents general global ordering. Conversely, the ground states on Caspar–Klug lattices are more diverse, with many different symmetries depending on the position of quadrupoles within the fundamental domain. We also show that by constraining the quadrupole tilts with respect to the surface normal, which models interactions with the substrate, and by considering general quadrupole tensors, we can manipulate the ground state configuration symmetry.

• Language: English
• Keywords: spherical geometry, quadrupoles, ordering on sphere
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2021
• Number of pages: Str. 4874–4883
• Numbering: Vol. 17, iss. 18
• PID: 20.500.12556/RUL-141870
• UDC: 514.13
• ISSN on article: 1744-683X
• DOI: 10.1039/d1sm00228g
• COBISS.SI-ID: 97228803
• Publication date in RUL: 10.10.2022

Record is a part of a journal

• Title: Soft matter
• Publisher: Royal Society of Chemistry
• ISSN: 1744-683X
• COBISS.SI-ID: 19616551

Licences

• License: CC BY-NC 3.0, Creative Commons Attribution-NonCommercial 3.0 Unported
• Link: http://creativecommons.org/licenses/by-nc/3.0/
• Description: You are free to reproduce and redistribute the material in any medium or format. You are free to remix, transform, and build upon the material. You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Secondary language

• Language: Slovenian
• Keywords: sferična geometrija, kvadrupoli, urejanje na sferi

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0099
• Name: Fizika mehkih snovi, površin in nanostruktur

• Funder: ARRS - Slovenian Research Agency
• Project number: J1-9149
• Name: Orientacijske interakcije v posplošenem Thomsonovem problemu: dipolna stabilizacija sferičnih nanostruktur