Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
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| Format: | Preprint |
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2026
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| _version_ | 1866910126113292288 |
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| author | Liu, Chunxiao Balents, Leon Iqbal, Yasir |
| author_facet | Liu, Chunxiao Balents, Leon Iqbal, Yasir |
| contents | We present a systematic classification and variational study of chiral quantum spin liquids on the pyrochlore lattice based on fermionic parton constructions. Focusing on chiral $\mathrm{U(1)}$ and $\mathbb{Z}_2$ spin-liquid Ansätze, we characterize their symmetry properties, flux structures, and low-energy spinon spectra within a projective symmetry group framework, and incorporate gauge fluctuations through Gutzwiller-projected wave functions studied by variational Monte Carlo. From the equal-time spin structure factor, we develop correlation-based diagnostics that distinguish gauge-dominated Coulomb phases from states with substantial matter-field and short-range contributions. Distinct chiral flux sectors, though close in energy, exhibit markedly different degrees of emergent $\mathrm{U(1)}$ gauge-field dominance, reflected in the geometry and contrast of pinch-point singularities. Although these states are not competitive ground states of the nearest-neighbor Heisenberg model, they define a physically meaningful family of proximate chiral phases relevant to extended pyrochlore Hamiltonians. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_11880 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice Liu, Chunxiao Balents, Leon Iqbal, Yasir Strongly Correlated Electrons We present a systematic classification and variational study of chiral quantum spin liquids on the pyrochlore lattice based on fermionic parton constructions. Focusing on chiral $\mathrm{U(1)}$ and $\mathbb{Z}_2$ spin-liquid Ansätze, we characterize their symmetry properties, flux structures, and low-energy spinon spectra within a projective symmetry group framework, and incorporate gauge fluctuations through Gutzwiller-projected wave functions studied by variational Monte Carlo. From the equal-time spin structure factor, we develop correlation-based diagnostics that distinguish gauge-dominated Coulomb phases from states with substantial matter-field and short-range contributions. Distinct chiral flux sectors, though close in energy, exhibit markedly different degrees of emergent $\mathrm{U(1)}$ gauge-field dominance, reflected in the geometry and contrast of pinch-point singularities. Although these states are not competitive ground states of the nearest-neighbor Heisenberg model, they define a physically meaningful family of proximate chiral phases relevant to extended pyrochlore Hamiltonians. |
| title | Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2604.11880 |