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PreprintCC BY 4.0arXiv

Bulk-Defect Correspondence in Algebraic Classical Spin Liquids

  • Rafael Flores-Calderón
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Abstract

Local constraints in algebraic classical spin liquids give rise to singular momentum-space correlations. This so called pinch-point singularity carries a momentum-space winding number that determines the low-energy structure of the algebraic spin liquid. We show that nonmagnetic vacancies in two dimensions reveal this topological invariant in the real-space winding of the surrounding spin textures. Under explicit conditions, we prove this bulk-defect correspondence for rank-n U(1) spin liquids and verify it numerically for the Coulomb spin liquids of the kagome and checkerboard lattices and the rank-2 U(1) spin liquid of the honeycomb-snowflake model. In this way we show that vacancies can be used as general probes for distinguishing the emergent gauge theories of strongly correlated classical disordered magnets.

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Cite

BibTeXRIS
BibTeX
@misc{florescalderon2026bulkdefect,
  title = {{Bulk-Defect Correspondence in Algebraic Classical Spin Liquids}},
  author = {Rafael Flores-Calderón},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22585},
  eprint = {2610.22585},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22585},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bulk-Defect Correspondence in Algebraic Classical Spin Liquids
AU  - Rafael Flores-Calderón
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22585
UR  - https://arxiv.org/abs/2610.22585
AB  - Local constraints in algebraic classical spin liquids give rise to singular momentum-space correlations. This so called pinch-point singularity carries a momentum-space winding number that determines the low-energy structure of the algebraic spin liquid. We show that nonmagnetic vacancies in two dimensions reveal this topological invariant in the real-space winding of the surrounding spin textures. Under explicit conditions, we prove this bulk-defect correspondence for rank-n U(1) spin liquids and verify it numerically for the Coulomb spin liquids of the kagome and checkerboard lattices and the rank-2 U(1) spin liquid of the honeycomb-snowflake model. In this way we show that vacancies can be used as general probes for distinguishing the emergent gauge theories of strongly correlated classical disordered magnets.
ER  -