{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,23]],"date-time":"2026-10-23T17:41:38Z","timestamp":1792777298888,"version":"4.5.0"},"reference-count":23,"publisher":"National Academy of Sciences","issue":"43","license":[{"start":{"date-parts":[[2026,10,23]],"date-time":"2026-10-23T00:00:00Z","timestamp":1792713600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"name":"US National Science Foundation","award":["DMR 2011750"],"award-info":[{"award-number":["DMR 2011750"]}],"id":[{"id":"https:\/\/ror.org\/021nxhr62","id-type":"ROR","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000936","name":"Gordon and Betty Moore Foundation","doi-asserted-by":"publisher","award":["GBMF9466"],"award-info":[{"award-number":["GBMF9466"]}],"id":[{"id":"10.13039\/100000936","id-type":"DOI","asserted-by":"publisher"}]},{"name":"US Department of Energy","award":["DOE- SC0012704"],"award-info":[{"award-number":["DOE- SC0012704"]}],"id":[{"id":"https:\/\/ror.org\/01bj3aw27","id-type":"ROR","asserted-by":"crossref"}]}],"content-domain":{"domain":["www.pnas.org"],"crossmark-restriction":true},"short-container-title":["Proc. Natl. Acad. Sci. U.S.A."],"published-print":{"date-parts":[[2026,10,27]]},"abstract":"<jats:p>\n                    We investigated the longitudinal thermal conductivity\n                    <jats:italic toggle=\"yes\">\u03ba<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic toggle=\"yes\">xx<\/jats:italic>\n                    <\/jats:sub>\n                    and thermal Hall conductivity\n                    <jats:italic toggle=\"yes\">\u03ba<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic toggle=\"yes\">xy<\/jats:italic>\n                    <\/jats:sub>\n                    in La\n                    <jats:sub>2<\/jats:sub>\n                    CuO\n                    <jats:sub>4<\/jats:sub>\n                    at temperatures\n                    <jats:italic toggle=\"yes\">T<\/jats:italic>\n                    between 2 and 20 K in magnetic fields\n                    <jats:italic toggle=\"yes\">H<\/jats:italic>\n                    up to 10 T. Within the temperature and field intervals studied, we do not resolve any thermal Hall signal with a conservative upper bound of\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:mo stretchy=\"false\">|<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:msub>\n                            <mml:mi>\u03ba<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"italic\">xy<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                          <mml:mrow>\n                            <mml:mo stretchy=\"false\">\/<\/mml:mo>\n                            <mml:mi>T<\/mml:mi>\n                            <mml:mo stretchy=\"false\">|<\/mml:mo>\n                            <mml:mo>&lt;<\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mo>\u00d7<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:msup>\n                            <mml:mn>10<\/mml:mn>\n                            <mml:mrow>\n                              <mml:mo>\u2212<\/mml:mo>\n                              <mml:mn>4<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msup>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msup>\n                            <mml:mi mathvariant=\"normal\">Wm<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mo>\u2212<\/mml:mo>\n                              <mml:mn>1<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msup>\n                          <mml:msup>\n                            <mml:mi mathvariant=\"normal\">K<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mo>\u2212<\/mml:mo>\n                              <mml:mn>2<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msup>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    . The longitudinal thermal conductivity\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>\u03ba<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"italic\">xx<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                          <mml:mo stretchy=\"false\">\/<\/mml:mo>\n                          <mml:mi>T<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    agrees well with previous reports, in both its magnitude and\n                    <jats:italic toggle=\"yes\">T<\/jats:italic>\n                    dependence. Both\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mi>\u03ba<\/mml:mi>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">xx<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    and\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mi>\u03ba<\/mml:mi>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"italic\">xy<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    were measured using the field-swept protocol. To achieve high resolution, we carefully took into account relaxation effects after each step-increase in\n                    <jats:italic toggle=\"yes\">H<\/jats:italic>\n                    . At low\n                    <jats:italic toggle=\"yes\">T<\/jats:italic>\n                    , we find a weak linear decrease in\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>\u03ba<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"italic\">xx<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                          <mml:mo stretchy=\"false\">\/<\/mml:mo>\n                          <mml:mi>T<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    vs.\n                    <jats:italic toggle=\"yes\">H<\/jats:italic>\n                    , as well as weak hystereses near the metamagnetic transitions of the spins.\n                  <\/jats:p>","DOI":"10.1073\/pnas.2611564123","type":"journal-article","created":{"date-parts":[[2026,10,23]],"date-time":"2026-10-23T17:32:01Z","timestamp":1792776721000},"update-policy":"https:\/\/doi.org\/10.1073\/pnas.cm10313","source":"Crossref","is-referenced-by-count":0,"title":["High-resolution measurements of thermal conductivity matrix and search for thermal Hall effect in La\n                    <sub>2<\/sub>\n                    CuO\n                    <sub>4<\/sub>"],"prefix":"10.1073","volume":"123","author":[{"given":"Jiayi","family":"Hu","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00hx57361","id-type":"ROR","asserted-by":"publisher"}],"name":"Department of Physics, Princeton University","place":["Princeton"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haozhi","family":"Xu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00hx57361","id-type":"ROR","asserted-by":"publisher"}],"name":"Department of Physics, Princeton University","place":["Princeton"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Genda","family":"Gu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02ex6cf31","id-type":"ROR","asserted-by":"publisher"}],"name":"Condensed Matter Physics and Materials Science, Brookhaven National Laboratory","place":["Upton"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1230-4832","authenticated-orcid":false,"given":"Qiang","family":"Li","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02ex6cf31","id-type":"ROR","asserted-by":"publisher"}],"name":"Condensed Matter Physics and Materials Science, Brookhaven National Laboratory","place":["Upton"]},{"id":[{"id":"https:\/\/ror.org\/05qghxh33","id-type":"ROR","asserted-by":"publisher"}],"name":"Department of Physics and Astronomy, Stony Brook University","place":["Stony Brook"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7166-1058","authenticated-orcid":false,"given":"N. P.","family":"Ong","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00hx57361","id-type":"ROR","asserted-by":"publisher"}],"name":"Department of Physics, Princeton University","place":["Princeton"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"341","published-online":{"date-parts":[[2026,10,23]]},"reference":[{"key":"e_1_3_4_1_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature14165"},{"key":"e_1_3_4_2_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.104.066403"},{"key":"e_1_3_4_3_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.91.125413"},{"key":"e_1_3_4_4_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.aay5551"},{"key":"e_1_3_4_5_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41563-022-01397-w"},{"key":"e_1_3_4_6_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.197202"},{"key":"e_1_3_4_7_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.126.147201"},{"key":"e_1_3_4_8_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-020-0965-y"},{"key":"e_1_3_4_9_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-019-1375-0"},{"key":"e_1_3_4_10_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.106.144111"},{"key":"e_1_3_4_11_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2215141119"},{"key":"e_1_3_4_12_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.105.L220301"},{"key":"e_1_3_4_13_2","unstructured":"M. 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