{
  "abstract": "As electron sources are reduced in size, fabricated in new materials, or pushed for performance, the analytical formulations for thermo-field electron emission, namely Fowler-Nordheim and Murphy-Good equations and their JWKB-based extensions, are increasingly applied out of the range of conditions for which they were derived. We present GETELEC-3, an open-source code that replaces them with a direct numerical solution of the one-dimensional time-independent Schrödinger equation (1D-TISE). Several methods to solve the 1D-TISE have been implemented to test for speed, robustness, and solution's uncertainty. The Noumerov algorithm is found to be quickest, with the solution uncertainty below 1%, and together with an optimised kernel that advances all electron energies in parallel, the cost of calculating the current density is reduced to a few milliseconds - comparable to the JWKB evaluation. To further boost the calculation speed, especially in complicated barriers, a neural network has been trained on the residual of the logarithm of the semiclassical reference and it reproduces the current density better than 0.4% at a fraction of the computational cost. The code is developed for metals and semiconductors, accepts arbitrary potentials and density of states, and comes with a user-friendly interface and compiled executable to democratise rigorous electron emission calculations and data analysis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07013",
  "author_total": 3,
  "authors": [
    {
      "name": "Salvador Barranco Cárceles"
    },
    {
      "name": "Andreas Kyritsakis"
    },
    {
      "name": "Anthony Ayari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f7nm92xpj9s7f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07013",
  "fulltext_url": null,
  "id": "f7nm92xpj9s7f",
  "issns": [],
  "landing_url": "https://hal.science/hal-05795910v1",
  "language": "en",
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "openalex",
      "3107|Gyrotron and Vacuum Electronics Research"
    ]
  ],
  "openalex": "W7220992804",
  "pdf_url": "https://arxiv.org/pdf/2610.07013",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f7nm92xpj9s7f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:55Z",
      "native_id": "hal-05795910",
      "source": "hal",
      "url": "https://hal.science/hal-05795910v1"
    },
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07013",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07013"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A numerical and efficient model for thermo-field electron emission calculations",
  "title_text": "A numerical and efficient model for thermo-field electron emission calculations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/f7nm92xpj9s7f",
  "venue": "HAL",
  "versions": []
}