{
  "abstract": "We present a systematic first-principles study of the spin-orbit torques in the ferromagnetic monolayers Fe$_3$GeTe$_2$ (FGT) and Fe$_3$GaTe$_2$ (FGaT). Despite sharing the same crystal structure (point group $D_{3h}$) and predominantly Fe~$3d$ spin-polarized bands, the two materials exhibit markedly different current-induced torques. We reveal these differences by computing the full angular dependence of the torkance---the torque per unit applied electric field---using linear-response theory with symmetry-adapted spin--orbit-coupled Wannier functions. FGaT may be viewed as a hole-doped analogue of FGT, since Ga contributes one valence electron fewer than Ge. Although the work functions differ by only about $28$~meV, the band filling near $K$ and $K'$ changes substantially: the density of states at $\\varepsilon_F$ is reduced by a factor of three and its spin polarization reverses from minority in FGT to majority in FGaT. These electronic changes are reflected in the torques resolved by time-reversal parity, sublattice, and momentum. In particular, we identify pronounced hidden torques in FGaT and relate the suppression of its fourth-harmonic Fermi-sea component to the evolution of momentum-space pockets. Finally, we discuss the emergence of such self-torques, which are not captured by the conventional picture of current-induced spin accumulation, within a symmetry-based phenomenological framework. Our results provide microscopic insight into current-induced torques in two-dimensional ferromagnets and offer guidance for defect and van der Waals engineering of layered magnetic materials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.05788",
  "author_total": 4,
  "authors": [
    {
      "name": "Gusthavo M. S. Brizolla"
    },
    {
      "name": "Stepan S. Tsirkin"
    },
    {
      "name": "Yaroslav Zhumagulov"
    },
    {
      "name": "Jaroslav Fabian"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ahrrf9har3kkg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.05788",
  "fulltext_url": null,
  "id": "ahrrf9har3kkg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.05788",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.05788",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ahrrf9har3kkg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2608.05788",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.05788"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Anatomy of Spin--Orbit Torques in Monolayer Fe$_3$GeTe$_2$ and Fe$_3$GaTe$_2$: Insights from atomistic and momentum-space decompositions",
  "title_text": "Anatomy of Spin--Orbit Torques in Monolayer Fe_3GeTe_2 and Fe_3GaTe_2: Insights from atomistic and momentum-space decompositions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/ahrrf9har3kkg",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/1v68-qwcl",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}