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Rev. Lett."],"accepted":{"date-parts":[[2026,1,22]]},"abstract":"<jats:p>\n                    The\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <a:mi>\u03b2<\/a:mi>\n                    <\/a:math>\n                    -pyrochlore\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <c:mrow>\n                        <c:msub>\n                          <c:mrow>\n                            <c:mi>CsNiCrF<\/c:mi>\n                          <\/c:mrow>\n                          <c:mrow>\n                            <c:mn>6<\/c:mn>\n                          <\/c:mrow>\n                        <\/c:msub>\n                      <\/c:mrow>\n                    <\/c:math>\n                    is a charge ice\u2014each tetrahedron of the pyrochlore lattice is occupied by two\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <e:mrow>\n                        <e:msup>\n                          <e:mrow>\n                            <e:mi>Ni<\/e:mi>\n                          <\/e:mrow>\n                          <e:mrow>\n                            <e:mn>2<\/e:mn>\n                            <e:mo>+<\/e:mo>\n                          <\/e:mrow>\n                        <\/e:msup>\n                      <\/e:mrow>\n                    <\/e:math>\n                    and two\n                    <g:math xmlns:g=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <g:mrow>\n                        <g:msup>\n                          <g:mrow>\n                            <g:mi>Cr<\/g:mi>\n                          <\/g:mrow>\n                          <g:mrow>\n                            <g:mn>3<\/g:mn>\n                            <g:mo>+<\/g:mo>\n                          <\/g:mrow>\n                        <\/g:msup>\n                      <\/g:mrow>\n                    <\/g:math>\n                    according to an ice rule, resulting in fully packed same-species loops with power-law length distribution. Using inelastic neutron scattering and numerical simulations, we show that the spin dynamics can be well described by a model with three antiferromagnetic interaction strengths, one for Ni\u2013Ni, Cr\u2013Ni, and Cr\u2013Cr interactions. Because the strengths of the two intraloop interactions are quite different, the fluctuations of each type of loop can be identified in the spectrum.\n                    <i:math xmlns:i=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <i:mrow>\n                        <i:msub>\n                          <i:mrow>\n                            <i:mi>CsNiCrF<\/i:mi>\n                          <\/i:mrow>\n                          <i:mrow>\n                            <i:mn>6<\/i:mn>\n                          <\/i:mrow>\n                        <\/i:msub>\n                      <\/i:mrow>\n                    <\/i:math>\n                    therefore forms an algebraic loop liquid in which power-law cation correlations control the spin dynamics. Our parameters predict a transition to spin nematic order with associated arrest of dynamics at\n                    <k:math xmlns:k=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <k:msub>\n                        <k:mi>T<\/k:mi>\n                        <k:mi>n<\/k:mi>\n                      <\/k:msub>\n                      <k:mo>\u2248<\/k:mo>\n                      <k:mn>0.55<\/k:mn>\n                      <k:mtext>\u2009<\/k:mtext>\n                      <k:mtext>\u2009<\/k:mtext>\n                      <k:mi mathvariant=\"normal\">K<\/k:mi>\n                    <\/k:math>\n                    , while we observe a freezing transition at\n                    <n:math xmlns:n=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <n:msub>\n                        <n:mi>T<\/n:mi>\n                        <n:mi>f<\/n:mi>\n                      <\/n:msub>\n                      <n:mo>=<\/n:mo>\n                      <n:mn>2.3<\/n:mn>\n                      <n:mtext>\u2009<\/n:mtext>\n                      <n:mtext>\u2009<\/n:mtext>\n                      <n:mi mathvariant=\"normal\">K<\/n:mi>\n                    <\/n:math>\n                    . Measurements of magnetization, ac, and nonlinear susceptibility show that this is not a canonical spin glass transition so we associate it with the development of slow dynamics due to interloop nematic correlations.\n                  <\/jats:p>","DOI":"10.1103\/xvxt-whns","type":"journal-article","created":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T12:42:19Z","timestamp":1769085739000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Algebraic Loop Liquid in the Pyrochlore\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <mml:mrow>\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi>CsNiCrF<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mn>6<\/mml:mn>\n                          <\/mml:mrow>\n      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