{
  "abstract": "We classify the fermion bilinears of the SU(2) gauge theory of the Shastry-Sutherland Dirac spin liquids under the spin-orbit-locked space group and treat the Dzyaloshinskii-Moriya (DM) interactions of SrCu$_2$(BO$_3$)$_2$ at leading order in $1/N$ and at one loop. At linear order DM can neither gap the spinons nor destabilize the SO(5) point above a scale $T^*$. Symmetry forbids every local gauge-singlet fermion mass at any order. Among the singlet bilinears, the in-plane couplings induce only a conserved spin current of dimension exactly 2, which sets $T^*=4λ\\simeq0.03$-$0.17$ K, and the out-of-plane coupling only a flavored spin-2 current, irrelevant at a unitary critical point. DM-induced Yukawa couplings start below $2\\%$ of the one that bounds the pseudocritical window. In zero field, measured samples order above $1$ K, at or above $T^*$. Below $T^*$, in a two-dimensional sample at the critical pressure, the Dirac cones reconstruct into a chirally protected $d$-wave quadratic band touching whose only gauge-singlet gap channels are the two valence-bond components and the scalar chirality. A one-loop flow, with the gauge field screened by the band touching, ends at $T^{**}\\sim(0.03$-$0.1)λ$ on a ray containing valence-bond order for the material's exchange and for most random couplings, and otherwise on a gapped chiral $\\mathbb{Z}_2$ spin liquid. The DM bias between the two plaquette patterns is at most of order $10^{-4}$, with a direction not fixed at $O(1/N)$, whereas non-magnetic quenched disorder couples a relevant random field to the plaquette doublet and none to the chirality. A field along $[100]$ induces a $(π,π)$ Néel moment linear in the field; a field along $[001]$ does not. This selection rule also holds in the dimer phase and is testable by $^{11}$B NMR under pressure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25082",
  "author_total": 1,
  "authors": [
    {
      "name": "Yasir Iqbal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bsth9xfjk74nv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25082",
  "fulltext_url": null,
  "id": "bsth9xfjk74nv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25082",
  "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.mtrl-sci"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7223041310",
  "pdf_url": "https://arxiv.org/pdf/2610.25082",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bsth9xfjk74nv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25082",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25082"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Dzyaloshinskii-Moriya interactions in the SU(2) gauge theory of the Shastry-Sutherland Dirac spin liquids",
  "title_text": "Dzyaloshinskii-Moriya interactions in the SU(2) gauge theory of the Shastry-Sutherland Dirac spin liquids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/bsth9xfjk74nv",
  "venue": "arXiv",
  "versions": []
}