{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T06:16:36Z","timestamp":1783664196059,"version":"3.55.0"},"reference-count":48,"publisher":"IOP Publishing","issue":"27","license":[{"start":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T00:00:00Z","timestamp":1783641600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T00:00:00Z","timestamp":1783641600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001843","name":"Science and Engineering Research Board","doi-asserted-by":"crossref","award":["CRG\/2022\/002781"],"award-info":[{"award-number":["CRG\/2022\/002781"]}],"id":[{"id":"10.13039\/501100001843","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2026,7,10]]},"abstract":"Abstract<\/jats:title>\n \n A two dimensional classical ferromagnetic\n XY<\/jats:italic>\n model with its bound vortex\u2013antivortex dominated quasi long range ordered phase at low temperatures is a long standing as well as well studied problem of interest in the field of condensed matter. We conduct a detailed Monte Carlo study of such model in a square lattice with rather unexplored extensions where additional anisotropic exchange coupling and Dzyaloshinskii\u2013Moriya interactions (DMI) together affect the Kosterlitz\u2013Thouless transition in presence\/absence of symmetry breaking fields. Without DMI, the exchange term promotes collinear (ferromagnetic) order, whereas the DMI term induces spin cantings. By tuning anisotropy upto Ising limit, we document energy, specific-heat, magnetizations as well as helicity modulus and vortex densities for different temperatures and DMI strength. We also compute the 2nd moment of correlation lengths in order to probe the spatial correlation of the spins. Furthermore, the effect of\n \n \n \n <\/jats:tex-math>\n \n \n U<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n (1) symmetry breaking 4-fold and 8-fold symmetric\n \n \n \n <\/jats:tex-math>\n \n \n \n h<\/mml:mi>\n 4<\/mml:mn>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n and\n \n \n \n <\/jats:tex-math>\n \n \n \n h<\/mml:mi>\n 8<\/mml:mn>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n fields are explored which shows how the double-peaked specific heat profiles changes in presence of DMI. Overall, our findings append many important updates in the low temperature phases of a topological\n XY<\/jats:italic>\n ferromagnet when additional DMI and isotropy-breaking exchange and\/or field terms are considered thereby providing a few practical blueprints for suitably engineering topological spin systems.\n <\/jats:p>","DOI":"10.1088\/1361-648x\/ae8496","type":"journal-article","created":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T22:52:56Z","timestamp":1782859976000},"page":"275803","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Interplay of anisotropy, Dzyaloshinskii Moriya interaction and symmetry breaking fields in a 2D\n XY<\/i>\n ferromagnet"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-4854-6076","authenticated-orcid":true,"given":"Rajdip","family":"Banerjee","sequence":"first","affiliation":[{"name":"Indian Institute of Engineering Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9247-5147","authenticated-orcid":true,"given":"Satyaki","family":"Kar","sequence":"additional","affiliation":[{"name":"A.K.P.C. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2026-04-10","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-06-30","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-07-10","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}