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Peer-reviewedCC BYSoft Matter

A skyrmionic topology perspective on Lehmann clusters

  • Pawel Pieranski
  • Ivan Smalyukh
  • Mehdi Zeghal
  • Patrick Judeinstein
  • Maria Helena Godinho
Open at sourceDOICite

Abstract

are immune against annihilation and form stable twin-like pairs known as Lehmann clusters. We point out that this immunity is due to the escape of the director field into the third dimension. We show that from a topological point of view, Lehmann clusters can be seen as skyrmion tubes embedded in a helicoidal background, and their extremities have the topology of monopoles.

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Cite

BibTeXRIS
BibTeX
@article{pieranski2026skyrmionic,
  title = {{A skyrmionic topology perspective on Lehmann clusters}},
  author = {Pawel Pieranski and Ivan Smalyukh and Mehdi Zeghal and Patrick Judeinstein and Maria Helena Godinho},
  journal = {Soft Matter},
  year = {2026},
  month = nov,
  doi = {10.1039/d5sm01244a},
  url = {https://hal.science/hal-05853641v1},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - A skyrmionic topology perspective on Lehmann clusters
AU  - Pawel Pieranski
AU  - Ivan Smalyukh
AU  - Mehdi Zeghal
AU  - Patrick Judeinstein
AU  - Maria Helena Godinho
PY  - 2026
DA  - 2026/11/05
JO  - Soft Matter
DO  - 10.1039/d5sm01244a
UR  - https://hal.science/hal-05853641v1
AB  - are immune against annihilation and form stable twin-like pairs known as Lehmann clusters. We point out that this immunity is due to the escape of the director field into the third dimension. We show that from a topological point of view, Lehmann clusters can be seen as skyrmion tubes embedded in a helicoidal background, and their extremities have the topology of monopoles.
SN  - 1744-683X
SN  - 1744-6848
ER  -