{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,25]],"date-time":"2026-09-25T04:59:46Z","timestamp":1790312386904,"version":"4.1.0"},"reference-count":70,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2026,9,23]],"date-time":"2026-09-23T00:00:00Z","timestamp":1790121600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Nanomaterials"],"abstract":"<jats:p>Graphene-based hybrid magnetic systems are promising platforms for spintronic applications, yet the mechanisms governing magnetic correlations in these two-dimensional (2D) architectures remain incompletely understood. Here, we investigate the magnetic behavior of Co\/CoO core\u2013shell nanoparticles electrochemically deposited on graphene, focusing on the 25\u201350 K range, where the coercivity and exchange bias field reach their maximum values. Using a modified 2D integral-law framework for approaching magnetic saturation, adapted for 2D systems via the Meyer integral transform, we reconstruct the real-space correlation functions (CFs) of the magnetic anisotropy axes and extract the main micromagnetic parameters. The analysis reveals three distinct types of CFs, monotonic, non-monotonic, and jump-like, which we tentatively associate with different microstructural configurations, including isolated nanoparticles, dense clusters, and sparse conglomerates separated by graphene domain boundaries. The monotonic CFs exhibit long-range coherence of the magnetic anisotropy axes extending over nearly one micrometer. We propose that this long-range behavior may arise from a dual-scale mechanism: indirect RKKY-type exchange through the graphene layer, combined with strong local anisotropy from the CoO shells, which pins the magnetization of individual Co cores via exchange bias. These interpretations are presented as plausible hypotheses, and further experimental verification is required.<\/jats:p>","DOI":"10.3390\/nano16191201","type":"journal-article","created":{"date-parts":[[2026,9,23]],"date-time":"2026-09-23T10:17:26Z","timestamp":1790158646000},"page":"1201","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Magnetic Correlations in Co\/CoO Core\/Shell Nanoparticles Decorated on Graphene: Insights from a Modified 2D Law of Approaching Magnetic Saturation"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-4226-384X","authenticated-orcid":false,"given":"Ekaterina S.","family":"Nazarenka","sequence":"first","affiliation":[{"name":"Department of Micro- and Nanoelectronics, Belarusian State University of Informatics and Radioelectronics, 220013 Minsk, Belarus"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"methodology","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"data-curation","vocabulary":"credit"}]},{"given":"Aleksander L.","family":"Danilyuk","sequence":"additional","affiliation":[{"name":"Department of Micro- and Nanoelectronics, Belarusian State University of Informatics and Radioelectronics, 220013 Minsk, Belarus"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"methodology","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"}]},{"given":"Nikolai G.","family":"Kovalchuk","sequence":"additional","affiliation":[{"name":"Laboratory \u201cIntegrated Micro- and Nanosystems\u201d, Research and Development Department, Belarusian State University of Informatics and Radioelectronics, 220013 Minsk, Belarus"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"}]},{"given":"Artjom O.","family":"Konakov","sequence":"additional","affiliation":[{"name":"Research Institute for Physical Chemical Problems, Belarusian State University, 220030 Minsk, Belarus"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"data-curation","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4471-0552","authenticated-orcid":false,"given":"Julia A.","family":"Fedotova","sequence":"additional","affiliation":[{"name":"Institute for Nuclear Problems, Belarusian State University, 220030 Minsk, Belarus"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"project-administration","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9584-1926","authenticated-orcid":false,"given":"Serghej L.","family":"Prischepa","sequence":"additional","affiliation":[{"name":"Department of Information Security, Belarusian State University of Informatics and Radioelectronics, 220013 Minsk, Belarus"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"investigation","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"},{"role":"project-administration","vocabulary":"credit"}]}],"member":"1968","published-online":{"date-parts":[[2026,9,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"666","DOI":"10.1126\/science.1102896","article-title":"Electric field effect in atomically thin carbon films","volume":"306","author":"Novoselov","year":"2004","journal-title":"Science"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3899","DOI":"10.1039\/C7CS00288B","article-title":"Emerging chemical strategies for imprinting magnetism in graphene and related 2D materials for spintronic and biomedical applications","volume":"47","author":"Ugolotti","year":"2018","journal-title":"Chem. 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