Leask, P orcid.org/0000-0002-6012-0034 (2022) Baby Skyrmion crystals. Physical Review D, 105 (2). 025010. ISSN 2470-0010
Abstract
This paper describes a model for baby Skyrme crystal chunks with arbitrary potential by considering energy contributions from the bulk and surface of a crystal chunk. We focus on two potentials which yield distinct Skyrme lattices: the standard potential V = m² (1 − φ³) and the easy plane potential V = ½ m² (φ¹)². In both models, the static energy functional is minimized over all two-dimensional period lattices, yielding the minimal-energy crystal structure(s). For the standard potential, the Skyrmions form a hexagonal crystal structure, whereas, for the easy plane potential, the minimal-energy crystal structure is a square lattice of half-charge lumps. We find that square crystal chunks are the global minima in the easy plane model for charges B > 6, 2B being a perfect square (m² = 1). In contrast, we observe that hexagonal crystal chunks in the standard model become the global minima for surprisingly large charges, B > 954 (m² = 0.1).
Metadata
Item Type: | Article |
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Authors/Creators: | |
Copyright, Publisher and Additional Information: | © 2022 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 26 Jan 2022 10:23 |
Last Modified: | 26 Jan 2022 10:23 |
Status: | Published |
Publisher: | American Physical Society (APS) |
Identification Number: | 10.1103/physrevd.105.025010 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:182855 |