Pith Number

pith:N3R552ZP

pith:2026:N3R552ZPO7DFQMPARCLOF5F4AJ

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Multiband Superconductivity in the Exactly Solvable Hatsugai-Kohmoto Model

Nico Hahn, R. Matthias Geilhufe

The orbital Hatsugai-Kohmoto model supplies an exactly solvable platform for classifying multiband superconducting gap structures and computing their mean-field critical temperatures.

arxiv:2605.13259 v1 · 2026-05-13 · cond-mat.supr-con · cond-mat.str-el

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Claims

C1strongest claim

Our results provide a systematic framework for analyzing superconductivity in the orbital Hatsugai-Kohmoto model and extend symmetry-based approaches to correlated multiband settings.

C2weakest assumption

The mean-field treatment accurately describes the superconducting transition and order parameter in this strongly correlated multiband model.

C3one line summary

The multiband Hatsugai-Kohmoto model yields a symmetry classification of superconducting gaps and mean-field critical temperatures for selected pairing channels in a two-orbital system.

References

50 extracted · 50 resolved · 0 Pith anchors

[1] The free energy is F = −T ln Z = N g |∆|2 − T ∑ k∈HBZ ln Zk 2023

[2] S. Souma, Y . Machida, T. Sato, T. Takahashi, H. Matsui, S.-C. Wang, H. Ding, A. Kaminski, J. C. Campuzano, S. Sasaki, and K. Kadowaki, The Origin of Multiple Superconducting Gaps in MgB2, Nature 423, 2003

[3] H. Suhl, B. T. Matthias, and L. R. Walker, Bardeen-Cooper- Schrieffer Theory of Superconductivity in the Case of Overlap- ping Bands, Phys. Rev. Lett. 3, 552 (1959) 1959

[4] H. J. Choi, D. Roundy, H. Sun, M. L. Cohen, and S. G. Louie, The Origin of the Anomalous Superconducting Properties of MgB2, Nature 418, 758 (2002) 2002

[5] J. Linder and A. V . Balatsky, Odd-Frequency Superconductiv- ity, Rev. Mod. Phys.91, 045005 (2019) 2019

Receipt and verification

First computed	2026-05-18T02:44:49.366985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee3deeb2f77c65831e08896e2f4bc02701661927477e6019114356fd9c963b2

Aliases

arxiv: 2605.13259 · arxiv_version: 2605.13259v1 · doi: 10.48550/arxiv.2605.13259 · pith_short_12: N3R552ZPO7DF · pith_short_16: N3R552ZPO7DFQMPA · pith_short_8: N3R552ZP

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N3R552ZPO7DFQMPARCLOF5F4AJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6ee3deeb2f77c65831e08896e2f4bc02701661927477e6019114356fd9c963b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d6541eb1ecf81678489d673ef7ab774691d843adaa360b6e3ea2e716cdb8256",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.supr-con",
    "submitted_at": "2026-05-13T09:41:46Z",
    "title_canon_sha256": "c01a8b186297ced2849afb904df57ae3d6e96914e47f0317a0915a86bcaac614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13259",
    "kind": "arxiv",
    "version": 1
  }
}