{
  "annotation_id": "9999e3f8-b50f-4808-b32e-de538c00f6fd",
  "date_created": "2026-03-02T18:00:29.226000Z",
  "date_modified": "2026-03-02T18:00:29.226000Z",
  "file_hash": "311b3c716c9ae7fd59ece2223a10ab7ca7880cc5cf8cca2e07c68dde24d97071",
  "private": false,
  "record": {
    "abstract": "An application of an effective numerical algorithm for solving eigenvalue\nproblems which arise in modelling electronic properties of quantum disordered\nsystems is considered. We study the electron states at the\nlocalization-delocalization transition induced by a random potential in the\nframework of the Anderson lattice model. The computation of the interior of the\nspectrum and corresponding wavefunctions for very sparse, hermitian matrices of\nsizes exceeding 10^6 x 10^6 is performed by the Lanczos-type method especially\nmodified for investigating statistical properties of energy levels and\neigenfunction amplitudes.",
    "arxiv_id": "physics/0002008",
    "authors": [
      "Isa Kh. Zharekeshev",
      "Bernhard Kramer"
    ],
    "categories": [
      "physics.comp-ph",
      "cond-mat.dis-nn",
      "cond-mat.mes-hall"
    ],
    "doi": "10.1016/S0010-4655(99)00392-6",
    "journal_ref": "Computer Physics Commun. 121-122 (1999) 502",
    "title": "Advanced Lanczos diagonalization for models of quantum disordered   systems",
    "url": "https://arxiv.org/abs/physics/0002008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f27fc20e-6ace-4485-8894-c838be9d762f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}