{
  "abstract": "A model for a one-dimensional chain of elongated nano-scale magnetic islands with dipole interactions is analyzed here for the properties of its static domain walls with site-by-site alternating order. The anisotropic magnetic islands on a nonmagnetic substrate have their longer axes oriented transverse ($y$-direction) to the chain direction ($x$-direction), in a transverse applied magnetic field. The islands' magnetic dipoles $\\vecμ_n$ are represented as macrospins of fixed length $μ$. The nearest-neighbor (NN) dipole interactions drive transverse alternating order, allowing for doubly-degenerate, uniform, static, $y$-alternating states, where the dipoles alternately point transverse to the chain direction, as in $\\vecμ_n = \\pm(-1)^n μ\\hat{y}$. Assuming only NN interactions, the domain walls connecting these two alternating states are found with numerical relaxation simulations and analyzed in a two-sublattice continuum theory. As the uniaxial anisotropy constant $K_1$ descends from larger values until it closely approaches the NN dipolar coupling constant $D$, the domain wall width grows indefinitely, and the large-$x$ continuum solutions closely approach the lattice numerical solutions. The applied field produces a very slight canting of the dipoles towards the field, maximum in the center of the domain wall. The dipoles on the two sublattices are found to rotate in {\\em opposite senses} as one scans along the lattice, resulting in a large longitudinal magnetic moment of the domain wall. A much smaller transverse magnetic moment has a topological contribution that depends on whether the chain length is odd or even.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Condens. Matter 2026, 11(4), 34",
  "arxiv": "2608.28831",
  "author_total": 1,
  "authors": [
    {
      "name": "G. M. Wysin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6vts6tvdbvrph.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28831",
  "fulltext_url": null,
  "id": "6vts6tvdbvrph",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28831",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.28831",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6vts6tvdbvrph.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2608.28831",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28831"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Domain walls with alternating magnetic order in a model with dipolar coupling",
  "title_text": "Domain walls with alternating magnetic order in a model with dipolar coupling",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/6vts6tvdbvrph",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3390/condmat11040034",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}