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Prog. Phys."],"published-print":{"date-parts":[[2026,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    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\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"normal\">U<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    and\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"double-struck\">Z<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    spin-liquid\n                    <jats:italic>Ans\u00e4tze<\/jats:italic>\n                    , 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\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"normal\">U<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    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.\n                  <\/jats:p>","DOI":"10.1088\/1361-6633\/ae8572","type":"journal-article","created":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T22:51:27Z","timestamp":1783032687000},"page":"078003","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice"],"prefix":"10.1088","volume":"89","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0695-1291","authenticated-orcid":true,"given":"Chunxiao","family":"Liu","sequence":"first","affiliation":[{"name":"Universit\u00e9 Paris-Saclay"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2377-2711","authenticated-orcid":false,"given":"Leon","family":"Balents","sequence":"additional","affiliation":[{"name":"University of California"},{"name":"Canadian Institute for Advanced Research"},{"name":"French American Center for Theoretical Science CNRS"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3387-0120","authenticated-orcid":true,"given":"Yasir","family":"Iqbal","sequence":"additional","affiliation":[{"name":"Indian Institute of Technology Madras"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,7,15]]},"reference":[{"key":"ropae8572bib1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.69.064404","type":"journal-article","article-title":"Pyrochlore photons: the U(1) spin liquid in a S=12 three-dimensional frustrated magnet","volume":"69","author":"Hermele","year":"2004","journal-title":"Phys. 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