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Rev. Lett."],"accepted":{"date-parts":[[2026,7,21]]},"abstract":"<jats:p>\n                    We have studied the magnetic properties of clinoatacamite\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <a:mrow>\n                        <a:mrow>\n                          <a:msub>\n                            <a:mrow>\n                              <a:mi>Cu<\/a:mi>\n                            <\/a:mrow>\n                            <a:mrow>\n                              <a:mn>2<\/a:mn>\n                            <\/a:mrow>\n                          <\/a:msub>\n                        <\/a:mrow>\n                        <a:mi>Cl<\/a:mi>\n                        <a:msub>\n                          <a:mrow>\n                            <a:mo stretchy=\"false\">(<\/a:mo>\n                            <a:mrow>\n                              <a:mi>OH<\/a:mi>\n                            <\/a:mrow>\n                            <a:mo stretchy=\"false\">)<\/a:mo>\n                          <\/a:mrow>\n                          <a:mrow>\n                            <a:mn>3<\/a:mn>\n                          <\/a:mrow>\n                        <\/a:msub>\n                      <\/a:mrow>\n                    <\/a:math>\n                    , the parent compound of the quantum spin liquid candidate herbertsmithite and a long-standing puzzle among frustrated quantum magnets. As we reveal using density-functional theory, clinoatacamite belongs to the class of distorted kagome antiferromagnets with the kagome plane being embedded into a low-symmetry crystal structure. By means of thermodynamic measurements, muon spin rotation and relaxation, as well as neutron diffraction on single crystals, we find in zero magnetic field complex behavior below\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <e:mrow>\n                        <e:msub>\n                          <e:mrow>\n                            <e:mi>T<\/e:mi>\n                          <\/e:mrow>\n                          <e:mrow>\n                            <e:mi mathvariant=\"normal\">I<\/e:mi>\n                          <\/e:mrow>\n                        <\/e:msub>\n                        <e:mo>=<\/e:mo>\n                        <e:mn>18.1<\/e:mn>\n                        <e:mtext>\u2009<\/e:mtext>\n                        <e:mtext>\u2009<\/e:mtext>\n                        <e:mi mathvariant=\"normal\">K<\/e:mi>\n                      <\/e:mrow>\n                    <\/e:math>\n                    which unfolds in three temperature regions I\u2013III. We propose this complexity in multicritical clinoatacamite to arise from the competition of antiferromagnetic ordering modes from the underconstrained manifold of modes, which can lead to a metamagnetic texture in zero field.\n                  <\/jats:p>","DOI":"10.1103\/xmh8-68vk","type":"journal-article","created":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T12:37:46Z","timestamp":1784637466000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Competing Ordering Modes in the Distorted Quantum Kagome Material Clinoatacamite\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <mml:mrow>\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>Cu<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mn>2<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                        <mml:mi>Cl<\/mml:mi>\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mrow>\n                              <mml:mi>OH<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mn>3<\/mml:mn>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:mrow>\n                    <\/mml:math>"],"prefix":"10.1103","volume":"137","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8244-403X","authenticated-orcid":true,"given":"L.","family":"St\u00f6dter","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/010nsgg66","id-type":"ROR","asserted-by":"publisher"}],"name":"Technische Universit\u00e4t Braunschweig"},{"id":[{"id":"https:\/\/ror.org\/00ed5g627","id-type":"ROR","asserted-by":"publisher"}],"name":"Heinz Maier-Leibnitz Zentrum (MLZ)"},{"id":[{"id":"https:\/\/ror.org\/02nv7yv05","id-type":"ROR","asserted-by":"publisher"}],"name":"Forschungszentrum J\u00fclich GmbH"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-0865-5933","authenticated-orcid":true,"given":"C.","family":"Kastner","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/010nsgg66","id-type":"ROR","asserted-by":"publisher"}],"name":"Technische Universit\u00e4t 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the past, magnetic studies on clinoatacamite were carried out using synthesized (in part deuterated) as well as natural polycrystals and powder [20, 21, 22, 23, 24, 25, 26, 27, 29, 30], however, the results yielded an inconsistent picture. It was found that clinoatacamite undergoes a magnetic transition at 18.1\u00a0K, signaled by weak anomalies of the magnetic susceptibility and the heat capacity as well as by the onset of oscillations of the \u03bcSR asymmetry [20, 29]. An additional transition was reported to occur at 6.2\u00a0K [20]. Zero-field \u03bcSR measurements in this lower-temperature region revealed oscillations of the asymmetry only at lowest temperatures \u223c2\u2009\u2009K [20]. Powder neutron scattering of deuterated material supported long-range magnetic order with a propagation vector qm=(0,0,0) below 6.7\u00a0K [21, 22]. Curiously, no magnetic reflections were found at higher temperatures and up to 18.1\u00a0K, where \u03bcSR sensed long-range magnetic order [20]. From the flat band of excitations observed for deuterated clinoatacamite powder by means of inelastic neutron scattering at 1.5\u00a0K, the authors of Ref.\u00a0[21] concluded on a valence-bond solid ground state.","type":"other"},{"key":"xmh8-68vkCc29R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.71.052409","type":"journal-article"},{"key":"xmh8-68vkCc30R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmmm.2003.12.363","type":"journal-article"},{"key":"xmh8-68vkCc31R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-019-0501-0","type":"journal-article"},{"key":"xmh8-68vkCc32R1","first-page":"73","type":"journal-article","volume":"34","author":"J.\u2009D. Grice","year":"1996","journal-title":"Can. Mineral.","ISSN":"https:\/\/id.crossref.org\/issn\/0008-4476","issn-type":"print"},{"key":"xmh8-68vkCc33R1","doi-asserted-by":"publisher","DOI":"10.1107\/S0108768109013901","type":"journal-article"},{"key":"xmh8-68vkCc34R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/xmh8-68vk for additional information on the structural characterization of clinoatacamite, the derivation of the motif of exchange couplings, the thermodynamic measurements, the \u03bcSR data analysis, the neutron diffraction experiments, and the magnetic structure determination as well as the discussion of the phenomenological magnetic free energy. 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