{
  "id": "2402.10514",
  "version": "v1",
  "published": "2024-02-16T09:03:28.000Z",
  "updated": "2024-02-16T09:03:28.000Z",
  "title": "Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations",
  "authors": [
    "Vit Jakubsky",
    "Kevin Zelaya"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We introduce a systematic method to spectrally design quasi-one-dimensional crystal models described by the Dirac equation in the low-energy regime. The method is based on the supersymmetric transformation applied to an initially known pseudo-spin-1/2 model. This allows extending the corresponding susy partner so that the new model describes a pseudo-spin-1 system. The spectral design allows the introduction of a flat-band and discrete energies at will into the new model. The results are illustrated in two examples where the Su-Schriefer-Heeger chain is locally converted into a stub lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-16T09:03:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supersymmetric transformation",
      "quasi-one-dimensional systems",
      "flat-band engineering",
      "spectrally design quasi-one-dimensional crystal models",
      "low-energy regime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}