Long-range order in quadrupolar systems on spherical surfaces
| Autor: | Andraž Gnidovec, Simon Čopar |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
media_common.quotation_subject
Frustration FOS: Physical sciences 02 engineering and technology Condensed Matter - Soft Condensed Matter spherical geometry Curvature 01 natural sciences udc:514.13 sferična geometrija Position (vector) 0103 physical sciences 010306 general physics media_common Physics quadrupoles ordering on sphere General Chemistry 021001 nanoscience & nanotechnology Condensed Matter Physics Symmetry (physics) kvadrupoli Classical mechanics Fundamental domain Quadrupole Homogeneous space urejanje na sferi Soft Condensed Matter (cond-mat.soft) 0210 nano-technology Ground state |
| Zdroj: | Soft matter, vol. 17, no. 18, 2021. |
| ISSN: | 1744-683X |
| Popis: | Understanding the interplay between topology and ordering in systems on curved manifolds, governed by anisotropic interactions, 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. 16 pages, 8 figures, Supplemental material |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|