{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T11:01:44Z","timestamp":1785495704231,"version":"3.56.0"},"reference-count":46,"publisher":"Royal Society of Chemistry (RSC)","issue":"25","license":[{"start":{"date-parts":[[2024,5,30]],"date-time":"2024-05-30T00:00:00Z","timestamp":1717027200000},"content-version":"am","delay-in-days":515,"URL":"http:\/\/rsc.li\/journals-terms-of-use"}],"content-domain":{"domain":["rsc.org"],"crossmark-restriction":true},"short-container-title":["Phys. Chem. Chem. Phys."],"abstract":"<jats:p>\n                    The nearest neighbor biquadratic exchange interaction\n                    <jats:italic>B<\/jats:italic>\n                    <jats:sub>1<\/jats:sub>\n                    is equivalent to half of\n                    <jats:italic>J<\/jats:italic>\n                    <jats:sub>3<\/jats:sub>\n                    of the Heisenberg linear interaction, and the positive\n                    <jats:italic>B<\/jats:italic>\n                    <jats:sub>1<\/jats:sub>\n                    partially counteracts the effect of negative\n                    <jats:italic>J<\/jats:italic>\n                    <jats:sub>3<\/jats:sub>\n                    in the spin spiral, making monolayer NiCl\n                    <jats:sub>2<\/jats:sub>\n                    ferromagnetic.\n                  <\/jats:p>","DOI":"10.1039\/d3cp00855j","type":"journal-article","created":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T23:01:57Z","timestamp":1685401317000},"page":"16962-16967","update-policy":"https:\/\/doi.org\/10.1039\/rsc_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Same effect of biquadratic exchange interaction and Heisenberg linear interaction in a spin spiral"],"prefix":"10.1039","volume":"25","author":[{"given":"Lingzi","family":"Jiang","sequence":"first","affiliation":[{"name":"College of Physics, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Can","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Physics, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bingjie","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Physics, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yanfei","family":"Pan","sequence":"additional","affiliation":[{"name":"College of Physics, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiyu","family":"Fan","sequence":"additional","affiliation":[{"name":"College of Physics, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daning","family":"Shi","sequence":"additional","affiliation":[{"name":"College of Physics, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chunlan","family":"Ma","sequence":"additional","affiliation":[{"name":"Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9620-7505","authenticated-orcid":false,"given":"Yan","family":"Zhu","sequence":"additional","affiliation":[{"name":"College of Physics, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"292","published-online":{"date-parts":[[2023]]},"reference":[{"key":"D3CP00855J\/cit1\/1","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1038\/nature22060","volume":"546","author":"Gong","year":"2017","journal-title":"Nature"},{"key":"D3CP00855J\/cit2\/1","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1038\/nature22391","volume":"546","author":"Huang","year":"2017","journal-title":"Nature"},{"key":"D3CP00855J\/cit3\/1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41524-017-0060-9","volume":"4","author":"Xu","year":"2018","journal-title":"npj Comput. Mater."},{"key":"D3CP00855J\/cit4\/1","doi-asserted-by":"crossref","first-page":"017201","DOI":"10.1103\/PhysRevLett.124.017201","volume":"124","author":"Lee","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit5\/1","doi-asserted-by":"crossref","first-page":"247204","DOI":"10.1103\/PhysRevLett.127.247204","volume":"127","author":"Ni","year":"2021","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit6\/1","doi-asserted-by":"crossref","first-page":"8511","DOI":"10.1073\/pnas.1715465115","volume":"115","author":"Gong","year":"2018","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"key":"D3CP00855J\/cit7\/1","doi-asserted-by":"crossref","first-page":"236801","DOI":"10.1103\/PhysRevLett.111.236801","volume":"111","author":"Donati","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit8\/1","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1016\/j.carbon.2015.08.072","volume":"95","author":"Manad\u00e9","year":"2015","journal-title":"Carbon"},{"key":"D3CP00855J\/cit9\/1","doi-asserted-by":"crossref","first-page":"177201","DOI":"10.1103\/PhysRevLett.113.177201","volume":"113","author":"Donati","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit10\/1","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1038\/s41563-018-0079-4","volume":"17","author":"Yang","year":"2018","journal-title":"Nat. Mater."},{"key":"D3CP00855J\/cit11\/1","doi-asserted-by":"crossref","first-page":"2074","DOI":"10.1021\/nl504981g","volume":"15","author":"Hu","year":"2015","journal-title":"Nano Lett."},{"key":"D3CP00855J\/cit12\/1","doi-asserted-by":"crossref","first-page":"175502","DOI":"10.1103\/PhysRevLett.113.175502","volume":"113","author":"Virgus","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit13\/1","doi-asserted-by":"crossref","first-page":"12322","DOI":"10.1038\/srep12322","volume":"5","author":"Crook","year":"2015","journal-title":"Sci. Rep."},{"key":"D3CP00855J\/cit14\/1","doi-asserted-by":"crossref","first-page":"4441","DOI":"10.1021\/acs.jpcc.8b11803","volume":"123","author":"Zhu","year":"2019","journal-title":"J. Phys. Chem. C"},{"key":"D3CP00855J\/cit15\/1","doi-asserted-by":"crossref","first-page":"13903","DOI":"10.1063\/1.5007274","volume":"123","author":"Crook","year":"2018","journal-title":"J. Appl. Phys."},{"key":"D3CP00855J\/cit16\/1","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1038\/s41586-018-0626-9","volume":"563","author":"Deng","year":"2018","journal-title":"Nature"},{"key":"D3CP00855J\/cit17\/1","first-page":"011022","volume":"12","author":"Bao","year":"2022","journal-title":"Phys. Rev. X"},{"key":"D3CP00855J\/cit18\/1","doi-asserted-by":"crossref","first-page":"K21","DOI":"10.1002\/pssb.2221370140","volume":"137","author":"Brown","year":"1986","journal-title":"Phys. Status Solidi B"},{"key":"D3CP00855J\/cit19\/1","doi-asserted-by":"crossref","first-page":"024418","DOI":"10.1103\/PhysRevB.101.024418","volume":"101","author":"Hoffmann","year":"2020","journal-title":"Phys. Rev. B"},{"key":"D3CP00855J\/cit20\/1","doi-asserted-by":"crossref","first-page":"1106","DOI":"10.1103\/PhysRevLett.86.1106","volume":"86","author":"Kurz","year":"2001","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit21\/1","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1038\/s41524-020-00416-1","volume":"6","author":"Kartsev","year":"2020","journal-title":"npj Comput. Mater."},{"key":"D3CP00855J\/cit22\/1","doi-asserted-by":"crossref","first-page":"5784","DOI":"10.1038\/s41467-020-19535-w","volume":"11","author":"Amoroso","year":"2020","journal-title":"Nat. Commun."},{"key":"D3CP00855J\/cit23\/1","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1038\/s41467-021-27834-z","volume":"13","author":"Xian","year":"2022","journal-title":"Nat. Commun."},{"key":"D3CP00855J\/cit24\/1","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1038\/s41565-018-0063-9","volume":"13","author":"Bonilla","year":"2018","journal-title":"Nat. Nanotechnol."},{"key":"D3CP00855J\/cit25\/1","doi-asserted-by":"crossref","first-page":"045042","DOI":"10.1088\/2053-1583\/ab2f06","volume":"6","author":"Menichetti","year":"2019","journal-title":"2D Mater"},{"key":"D3CP00855J\/cit26\/1","doi-asserted-by":"crossref","first-page":"125416","DOI":"10.1103\/PhysRevB.98.125416","volume":"98","author":"Fang","year":"2018","journal-title":"Phys. Rev. B"},{"key":"D3CP00855J\/cit27\/1","doi-asserted-by":"crossref","first-page":"037209","DOI":"10.1103\/PhysRevLett.101.037209","volume":"101","author":"Xiang","year":"2008","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit28\/1","doi-asserted-by":"crossref","first-page":"147204","DOI":"10.1103\/PhysRevLett.114.147204","volume":"114","author":"Wang","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit29\/1","doi-asserted-by":"crossref","first-page":"13159","DOI":"10.1038\/srep13159","volume":"5","author":"Hou","year":"2015","journal-title":"Sci. Rep."},{"key":"D3CP00855J\/cit30\/1","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1088\/0022-3719\/8\/7\/021","volume":"8","author":"Lindgard","year":"1975","journal-title":"J. Phys. C: Solid State Phys."},{"key":"D3CP00855J\/cit31\/1","doi-asserted-by":"crossref","first-page":"11169","DOI":"10.1103\/PhysRevB.54.11169","volume":"54","author":"Kresse","year":"1996","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D3CP00855J\/cit32\/1","doi-asserted-by":"crossref","first-page":"1758","DOI":"10.1103\/PhysRevB.59.1758","volume":"59","author":"Kresse","year":"1999","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D3CP00855J\/cit33\/1","doi-asserted-by":"crossref","first-page":"1396","DOI":"10.1103\/PhysRevLett.78.1396","volume":"78","author":"Perdew","year":"1997","journal-title":"Phys. Rev. Lett."},{"key":"D3CP00855J\/cit34\/1","doi-asserted-by":"crossref","first-page":"121","DOI":"10.3390\/cryst7050121","volume":"7","author":"McGuire","year":"2017","journal-title":"Crystals"},{"key":"D3CP00855J\/cit35\/1","doi-asserted-by":"crossref","first-page":"5188","DOI":"10.1103\/PhysRevB.13.5188","volume":"13","author":"Monkhorst","year":"1976","journal-title":"Phys. Rev. B: Solid State"},{"key":"D3CP00855J\/cit36\/1","doi-asserted-by":"crossref","first-page":"R5467","DOI":"10.1103\/PhysRevB.52.R5467","volume":"52","author":"Liechtenstein","year":"1995","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D3CP00855J\/cit37\/1","doi-asserted-by":"crossref","first-page":"17953","DOI":"10.1103\/PhysRevB.50.17953","volume":"50","author":"Blochl","year":"1994","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D3CP00855J\/cit38\/1","doi-asserted-by":"crossref","first-page":"11556","DOI":"10.1103\/PhysRevB.62.11556","volume":"62","author":"Hobbs","year":"2000","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D3CP00855J\/cit39\/1","doi-asserted-by":"crossref","first-page":"166805","DOI":"10.1016\/j.jmmm.2020.166805","volume":"507","author":"Zhu","year":"2020","journal-title":"J. Magn. Magn. Mater."},{"key":"D3CP00855J\/cit40\/1","doi-asserted-by":"crossref","first-page":"546","DOI":"10.1103\/PhysRev.131.546","volume":"131","author":"Lines","year":"1963","journal-title":"Phys. Rev."},{"key":"D3CP00855J\/cit41\/1","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1039\/C2DT31662E","volume":"42","author":"Xiang","year":"2012","journal-title":"Dalton Trans."},{"key":"D3CP00855J\/cit42\/1","doi-asserted-by":"crossref","first-page":"224429","DOI":"10.1103\/PhysRevB.84.224429","volume":"84","author":"Xiang","year":"2011","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D3CP00855J\/cit43\/1","doi-asserted-by":"crossref","first-page":"5126","DOI":"10.1021\/acs.nanolett.1c01095","volume":"21","author":"Ju","year":"2021","journal-title":"Nano Lett."},{"key":"D3CP00855J\/cit44\/1","doi-asserted-by":"crossref","first-page":"8617","DOI":"10.1021\/j100135a014","volume":"97","author":"Dronskowski","year":"1993","journal-title":"J. Phys. Chem."},{"key":"D3CP00855J\/cit45\/1","doi-asserted-by":"crossref","first-page":"1030","DOI":"10.1002\/jcc.24300","volume":"37","author":"Maintz","year":"2016","journal-title":"J. Comput. Chem."},{"key":"D3CP00855J\/cit46\/1","doi-asserted-by":"crossref","first-page":"7222","DOI":"10.1039\/c3cp55319a","volume":"16","author":"Song","year":"2014","journal-title":"Phys. Chem. Chem. Phys."}],"container-title":["Physical Chemistry Chemical Physics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/pubs.rsc.org\/en\/content\/articlepdf\/2023\/CP\/D3CP00855J","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T17:24:49Z","timestamp":1783013089000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.rsc.org\/cp\/article\/25\/25\/16962-16967\/800871"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"references-count":46,"journal-issue":{"issue":"25","published-print":{"date-parts":[[2023,6,28]]}},"URL":"https:\/\/doi.org\/10.1039\/d3cp00855j","relation":{},"ISSN":["1463-9076","1463-9084"],"issn-type":[{"value":"1463-9076","type":"print"},{"value":"1463-9084","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023]]}}}