Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Woven nematic defects, skyrmions, and the Abelian sandpile model

Tools
- Tools
+ Tools

Machon, Thomas and Alexander, Gareth P. (2018) Woven nematic defects, skyrmions, and the Abelian sandpile model. Physical Review Letters, 121 (23). 237801. doi:10.1103/PhysRevLett.121.237801

[img]
Preview
PDF
WRAP-woven-nematic-defects-skyrmions-sandpile-Alexander-2018.pdf - Accepted Version - Requires a PDF viewer.

Download (3103Kb) | Preview
Official URL: http://dx.doi.org/10.1103/PhysRevLett.121.237801

Request Changes to record.

Abstract

We show that a fixed set of woven defect lines in a nematic liquid crystal supports a set of nonsingular topological states which can be mapped on t o recurrent stable configurations in the Abelian sandpile model or chip-firing game. The physical correspondence between local skyrmion flux and sandpile height is made between the two models. Using a toy model of the elastic energy, we examine the structure of energy minima as a function of topological class and show that the system admits domain wall skyrmion solitons.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Nematic liquid crystals, Skyrme model
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
ISSN: 0031-9007
Official Date: 7 December 2018
Dates:
DateEvent
7 December 2018Published
3 December 2018Available
8 November 2018Accepted
Date of first compliant deposit: 4 December 2018
Volume: 121
Number: 23
Article Number: 237801
DOI: 10.1103/PhysRevLett.121.237801
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: © 2018 American Physical Society
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
MR-1262047National Science Foundationhttp://dx.doi.org/10.13039/100000001

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us