{
  "id": "2405.00292",
  "version": "v1",
  "published": "2024-05-01T03:05:59.000Z",
  "updated": "2024-05-01T03:05:59.000Z",
  "title": "Phase shifts, band geometry and responses in triple-Q charge and spin density waves",
  "authors": [
    "Ying-Ming Xie",
    "Naoto Nagaosa"
  ],
  "comment": "6 pages, 3 figures, plus Supplementary Material",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci",
    "cond-mat.str-el"
  ],
  "abstract": "Recently, there has been growing interest in the impacts of phase shifts within the triple-Q spin density wave (SDW) order parameters. Concurrently, it is widely recognized that incommensurate triple-Q charge density waves (CDW) are also prevalent in low-dimensional materials, where the phase degrees of freedom in the order parameters are generally allowed. In this study, we systematically investigate the pivotal effects arising from both triple-Q CDW and SDW order parameters, with particular consideration given to possible phase shifts. We show that the phase shifts play a crucial role in determining the real-space topology of triple-Q density waves. More importantly, we show that the triple-Q CDW and SDW order parameters would influence the band geometry in the momentum space, where multiband Dirac-like fermions are induced by the triple-Q density wave order parameters near the Fermi energy. Furthermore, we explicitly establish that such nontrivial band geometry, combined with symmetry-breaking induced by phase shifts, leads to a variety of intriguing linear and nonlinear responses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-01T03:05:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase shifts",
      "spin density wave",
      "band geometry",
      "triple-q charge density waves",
      "density wave order parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}