{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T22:12:52Z","timestamp":1790719972301,"version":"4.1.0"},"reference-count":81,"publisher":"American Physical Society (APS)","issue":"11","license":[{"start":{"date-parts":[[2025,9,16]],"date-time":"2025-09-16T00:00:00Z","timestamp":1757980800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["A02"],"award-info":[{"award-number":["A02"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["SFB 1143"],"award-info":[{"award-number":["SFB 1143"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["247310070"],"award-info":[{"award-number":["247310070"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["PHY-2210452"],"award-info":[{"award-number":["PHY-2210452"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. B"],"accepted":{"date-parts":[[2025,8,25]]},"abstract":"<jats:p>\n                    We study the dynamical response function relevant for two-dimensional coherent nonlinear optical spectroscopy of the antiferromagnetic frustrated\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mrow>\n                        <a:msub>\n                          <a:mi>J<\/a:mi>\n                          <a:mn>1<\/a:mn>\n                        <\/a:msub>\n                        <a:mtext>\u2212<\/a:mtext>\n                        <a:msub>\n                          <a:mi>J<\/a:mi>\n                          <a:mn>3<\/a:mn>\n                        <\/a:msub>\n                      <\/a:mrow>\n                    <\/a:math>\n                    Heisenberg model on the square lattice within its long-range-ordered, incommensurate diagonal spiral phase. We argue that in this phase effective dipole coupling to the electric field is important, with the spin-current coupling potentially being the dominant mechanism for spin\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:mrow>\n                        <b:mstyle scriptlevel=\"1\" displaystyle=\"false\">\n                          <b:mn>1<\/b:mn>\n                        <\/b:mstyle>\n                        <b:mo>\/<\/b:mo>\n                        <b:mstyle scriptlevel=\"1\" displaystyle=\"false\">\n                          <b:mn>2<\/b:mn>\n                        <\/b:mstyle>\n                      <\/b:mrow>\n                    <\/b:math>\n                    . For this setting, we use linear spin wave theory to evaluate the leading nonlinear polarization response which is of second order in the driving field. We show that the response function features a strong antidiagonal, galvanoelectric feature. The width of this feature is set by relaxation rates beyond the noninteracting magnon picture, thereby providing access to single-magnon lifetimes within the multimagnon continuum of the response function. Moreover, the response function is shown to display various structures in the two-dimensional frequency plane related to exceptional regions of the magnon dispersion.\n                  <\/jats:p>","DOI":"10.1103\/q3ph-yf2t","type":"journal-article","created":{"date-parts":[[2025,8,25]],"date-time":"2025-08-25T14:29:12Z","timestamp":1756132152000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Two-dimensional nonlinear optical response of a spiral magnet"],"prefix":"10.1103","volume":"112","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2968-6363","authenticated-orcid":true,"given":"Wolfram","family":"Brenig","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/010nsgg66","id-type":"ROR","asserted-by":"publisher"}],"name":"Technical University Braunschweig"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2025,9,16]]},"reference":[{"key":"q3ph-yf2tCc1R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.physchem.51.1.691","type":"journal-article"},{"key":"q3ph-yf2tCc2R1","doi-asserted-by":"publisher","DOI":"10.1021\/cr078377b","type":"journal-article"},{"key":"q3ph-yf2tCc3R1","doi-asserted-by":"publisher","DOI":"10.1063\/PT.3.2047","type":"journal-article"},{"key":"q3ph-yf2tCc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.122.257401","type":"journal-article"},{"key":"q3ph-yf2tCc5R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.037205","type":"journal-article"},{"key":"q3ph-yf2tCc6R1","doi-asserted-by":"publisher","DOI":"10.1038\/nmat1327","type":"journal-article"},{"key":"q3ph-yf2tCc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.11.031035","type":"journal-article"},{"key":"q3ph-yf2tCc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.L100404","type":"journal-article"},{"key":"q3ph-yf2tCc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.165121","type":"journal-article"},{"key":"q3ph-yf2tCc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.108.134423","type":"journal-article"},{"key":"q3ph-yf2tCc11R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.108.165151","type":"journal-article"},{"key":"q3ph-yf2tCc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.109.104435","type":"journal-article"},{"key":"q3ph-yf2tCc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.110.134443","type":"journal-article"},{"key":"q3ph-yf2tCc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.124.117205","type":"journal-article"},{"key":"q3ph-yf2tCc16R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.107.134404","type":"journal-article"},{"key":"q3ph-yf2tCc17R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.3.L032024","type":"journal-article"},{"key":"q3ph-yf2tCc18R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.108.075120","type":"journal-article"},{"key":"q3ph-yf2tCc19R1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-648X\/ad7ac6","type":"journal-article"},{"key":"q3ph-yf2tCc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.133.126505","type":"journal-article"},{"key":"q3ph-yf2tCc22R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.3.013254","type":"journal-article"},{"key":"q3ph-yf2tCc23R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.118.207204","type":"journal-article"},{"key":"q3ph-yf2tCc24R1","first-page":"628","type":"journal-article","volume":"10","author":"I.\u00a0E. Dzyaloshinskii","year":"1960","journal-title":"Sov. Phys. JETP"},{"key":"q3ph-yf2tCc25R1","doi-asserted-by":"publisher","DOI":"10.1088\/0022-3727\/38\/8\/R01","type":"journal-article"},{"key":"q3ph-yf2tCc26R1","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/77\/7\/076501","type":"journal-article"},{"key":"q3ph-yf2tCc27R1","doi-asserted-by":"publisher","DOI":"10.1080\/00018732.2015.1114338","type":"journal-article"},{"key":"q3ph-yf2tCc28R1","doi-asserted-by":"publisher","DOI":"10.1093\/nsr\/nwz023","type":"journal-article"},{"key":"q3ph-yf2tCc29R1","first-page":"2628","type":"journal-article","volume":"11","author":"V.\u00a0G. Baryakhtar","year":"1970","journal-title":"Sov. Phys. Solid State"},{"key":"q3ph-yf2tCc30R1","doi-asserted-by":"publisher","DOI":"10.3367\/UFNr.0137.198207b.0415","type":"journal-article"},{"key":"q3ph-yf2tCc30R2","doi-asserted-by":"publisher","DOI":"10.1070\/PU1982v025n07ABEH004570","type":"journal-article"},{"key":"q3ph-yf2tCc31R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys2161","type":"journal-article"},{"key":"q3ph-yf2tCc32R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.94.064423","type":"journal-article"},{"key":"q3ph-yf2tCc33R1","doi-asserted-by":"publisher","DOI":"10.1002\/advs.202102488","type":"journal-article"},{"key":"q3ph-yf2tCc34R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.4.023007","type":"journal-article"},{"key":"q3ph-yf2tCc35R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.76.144424","type":"journal-article"},{"key":"q3ph-yf2tCc36R1","unstructured":"Nonetheless, our calculations will be performed for arbitrary spin.","type":"other"},{"key":"q3ph-yf2tCc37R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.177402","type":"journal-article"},{"key":"q3ph-yf2tCc38R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.74.1867","type":"journal-article"},{"key":"q3ph-yf2tCc39R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.057205","type":"journal-article"},{"key":"q3ph-yf2tCc40R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.105.054420","type":"journal-article"},{"key":"q3ph-yf2tCc41R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.73.094434","type":"journal-article"},{"key":"q3ph-yf2tCc42R1","doi-asserted-by":"publisher","DOI":"10.1038\/nmat1804","type":"journal-article"},{"key":"q3ph-yf2tCc43R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.40.10801","type":"journal-article"},{"key":"q3ph-yf2tCc44R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.41.4619","type":"journal-article"},{"key":"q3ph-yf2tCc45R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.42.6283","type":"journal-article"},{"key":"q3ph-yf2tCc46R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.44.392","type":"journal-article"},{"key":"q3ph-yf2tCc47R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.109.235116","type":"journal-article"},{"key":"q3ph-yf2tCc48R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139167994","type":"book","volume-title":"The Elements of Nonlinear Optics","author":"P.\u00a0N. Butcher","year":"1990"},{"key":"q3ph-yf2tCc49R1","doi-asserted-by":"publisher","DOI":"10.1088\/0370-1328\/88\/3\/320","type":"journal-article"},{"key":"q3ph-yf2tCc50R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2021.168523","type":"journal-article"},{"key":"q3ph-yf2tCc51R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.19.700","type":"journal-article"},{"key":"q3ph-yf2tCc51R2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.177.952","type":"journal-article"},{"key":"q3ph-yf2tCc52R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.39.2344","type":"journal-article"},{"key":"q3ph-yf2tCc53R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.61.1041","type":"journal-article"},{"key":"q3ph-yf2tCc54R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.62.835","type":"journal-article"},{"key":"q3ph-yf2tCc55R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.68.1770","type":"journal-article"},{"key":"q3ph-yf2tCc56R1","doi-asserted-by":"publisher","DOI":"10.1007\/s100510050003","type":"journal-article"},{"key":"q3ph-yf2tCc57R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.1067110","type":"journal-article"},{"key":"q3ph-yf2tCc58R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.70.897","type":"journal-article"},{"key":"q3ph-yf2tCc59R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.037202","type":"journal-article"},{"key":"q3ph-yf2tCc60R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.94.197202","type":"journal-article"},{"key":"q3ph-yf2tCc61R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.40.2494","type":"journal-article"},{"key":"q3ph-yf2tCc62R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.61.617","type":"journal-article"},{"key":"q3ph-yf2tCc63R1","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.61.704","type":"journal-article"},{"key":"q3ph-yf2tCc64R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.99.045121","type":"journal-article"},{"key":"q3ph-yf2tCc65R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.61.5337","type":"journal-article"},{"key":"q3ph-yf2tCc66R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.102.035440","type":"journal-article"},{"key":"q3ph-yf2tCc67R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.129.107201","type":"journal-article"},{"key":"q3ph-yf2tCc68R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.6.013048","type":"journal-article"},{"key":"q3ph-yf2tCc69R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.97.097203","type":"journal-article"},{"key":"q3ph-yf2tCc70R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.057601","type":"journal-article"},{"key":"q3ph-yf2tCc71R1","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.76.023708","type":"journal-article"},{"key":"q3ph-yf2tCc72R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.067204","type":"journal-article"},{"key":"q3ph-yf2tCc73R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.207204","type":"journal-article"},{"key":"q3ph-yf2tCc74R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/20\/43\/434209","type":"journal-article"},{"key":"q3ph-yf2tCc75R1","doi-asserted-by":"publisher","DOI":"10.1021\/acs.nanolett.1c01095","type":"journal-article"},{"key":"q3ph-yf2tCc76R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-021-04337-x","type":"journal-article"},{"key":"q3ph-yf2tCc77R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-023-06107-3","type":"journal-article"},{"key":"q3ph-yf2tCc78R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-024-07678-5","type":"journal-article"},{"key":"q3ph-yf2tCc79R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.109.195422","type":"journal-article"},{"key":"q3ph-yf2tCc80R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.128.177202","type":"journal-article"},{"key":"q3ph-yf2tCc81R1","doi-asserted-by":"publisher","DOI":"10.5281\/zenodo.15367726","type":"dataset"}],"container-title":["Physical Review B"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/q3ph-yf2t","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/q3ph-yf2t\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T21:43:16Z","timestamp":1790718196000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/q3ph-yf2t"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,16]]},"references-count":81,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2025,9]]}},"URL":"https:\/\/doi.org\/10.1103\/q3ph-yf2t","relation":{"has-preprint":[{"id-type":"doi","id":"10.48550\/arXiv.2504.07177","asserted-by":"subject"}]},"ISSN":["2469-9950","2469-9969"],"issn-type":[{"value":"2469-9950","type":"print"},{"value":"2469-9969","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9,16]]},"assertion":[{"value":"2025-05-09","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92025 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"115132"}}