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PreprintCC BY 4.0arXiv

Borromean Criticality in Two Dimensions

  • Alexandru Golic
  • Igor Timoshuk
  • Albert Samoilenka
  • Egor Babaev
  • Boris Svistunov
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Abstract

The characteristic feature of counterflow superfluids consisting of N≥ 3 components -- the so-called Borromean supercounterfluids (BSCF) -- is the presence of N distinct elementary topological excitations (vortices) despite having only N−1 independent Goldstone modes. We show that this remarkable property clearly manifests itself at the Berezinskii-Kosterlitz-Thouless-type transition from the BSCF to the normal state, under the conditions of slight to moderate deviations from the case of exact intercomponent symmetry. More generally, our analysis also applies to any multicomponent superfluid with intercomponent drag fine-tuned to the value when certain composite vortices compete energetically with elementary ones.

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Cite

BibTeXRIS
BibTeX
@misc{golic2026borromean,
  title = {{Borromean Criticality in Two Dimensions}},
  author = {Alexandru Golic and Igor Timoshuk and Albert Samoilenka and Egor Babaev and Boris Svistunov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15259},
  eprint = {2609.15259},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15259},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Borromean Criticality in Two Dimensions
AU  - Alexandru Golic
AU  - Igor Timoshuk
AU  - Albert Samoilenka
AU  - Egor Babaev
AU  - Boris Svistunov
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15259
UR  - https://arxiv.org/abs/2609.15259
AB  - The characteristic feature of counterflow superfluids consisting of N≥ 3 components -- the so-called Borromean supercounterfluids (BSCF) -- is the presence of N distinct elementary topological excitations (vortices) despite having only N−1 independent Goldstone modes. We show that this remarkable property clearly manifests itself at the Berezinskii-Kosterlitz-Thouless-type transition from the BSCF to the normal state, under the conditions of slight to moderate deviations from the case of exact intercomponent symmetry. More generally, our analysis also applies to any multicomponent superfluid with intercomponent drag fine-tuned to the value when certain composite vortices compete energetically with elementary ones.
ER  -