Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Condensed Matter > Strongly Correlated Electrons

arXiv:2111.06385 (cond-mat)
[Submitted on 11 Nov 2021 (v1), last revised 12 Apr 2022 (this version, v2)]

Title:Skyrmions and Hopfions in 3D Frustrated Magnets

Authors:Carlos Naya, Daniel Schubring, Mikhail Shifman, Zhentao Wang
View PDF
Abstract:A model of an inversion-symmetric frustrated spin system is introduced which hosts three-dimensional extensions of magnetic Skyrmions. In the continuum approximation this model reduces to a non-linear sigma model on a squashed sphere which has a natural interpolating parameter. At one limit of the parameter the model reduces to a frustrated magnetic system earlier considered by Sutcliffe as a host to Hopfions, and in the other limit it becomes very similar to the 3D Skyrme model. To better understand the relation between Hopfions and 3D Skyrmions a model interpolating between the Faddeev-Niemi model and the Skyrme model is reconsidered and it is shown that energies of the solitons obey a linear BPS bound. The 3D Skyrmions in the frustrated magnetic model are found and compared to the rational map ansatz.
Comments: 33 pages, 6 figures; major update with additional numerical results
Subjects: Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.06385 [cond-mat.str-el]
  (or arXiv:2111.06385v2 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.2111.06385
Related DOI: https://doi.org/10.1103/PhysRevB.106.094434

Submission history

From: Daniel Schubring [view email]
[v1] Thu, 11 Nov 2021 18:55:27 UTC (2,316 KB)
[v2] Tue, 12 Apr 2022 18:00:06 UTC (6,113 KB)
Full-text links:

Access Paper:

view license
Current browse context:
cond-mat.str-el
< prev   |   next >
new | recent | 2021-11
Change to browse by:
cond-mat
hep-th

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)