{
  "abstract": "We propose a superconducting circuit based on the Bloch transistor, a quantum device consisting of two small-capacitance Josephson junctions, connected in series and having a small superconducting island in between. This device is driven by two dc electrical sources controlling Josephson oscillations of frequency $f_J = 2e\\overline{V_J}/h$, related to the average transistor voltage $\\overline{V_J}$, and Bloch oscillations of frequency $f_B = \\overline{I_B}/2e$, related to the average current $\\overline{I_B}$ injected into the transistor island. We show that due to the Bloch transistor properties, these two types of oscillations are coupled and can mutually phase-lock, i.e., $f_J = f_B$. This leads to the formation of a current step on the current-voltage curve at $\\overline{I_B} = 2ef_J$, which is similar to the dual Shapiro step, appearing under microwave irradiation of frequency $f$ on the current-voltage curve of a small Josephson Junction at current $I=2ef$. Moreover, the Bloch transistor transconductance $\\overline{I_B}/\\overline{V_J}$ takes the fundamental value of $1/R_Q$, where $R_Q = h/4e^2$ is the resistance quantum. The obtained results pave the way to an alternative quantum standard of resistance, based on the superconducting circuit and operating without applying a strong magnetic field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. B, vol. 114, 134510 (2026)",
  "arxiv": "2605.14080",
  "author_total": 1,
  "authors": [
    {
      "name": "A. B. Zorin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4wc3393v1cpex.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.14080",
  "fulltext_url": null,
  "id": "4wc3393v1cpex",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.14080",
  "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.supr-con"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.14080",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4wc3393v1cpex.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2605.14080",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.14080"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.supr-con",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Dual Shapiro steps and fundamental transconductance in the dc-driven Bloch transistor",
  "title_text": "Dual Shapiro steps and fundamental transconductance in the dc-driven Bloch transistor",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/4wc3393v1cpex",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/pfyb-pdk9",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}