Pith Number

pith:OFO4FCFV

pith:2025:OFO4FCFVHCOYHI4IBW4NQNOS4G

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Lattice Unitarity: Saturated Collisional Resistivity in Hubbard Metals

Antoine Lefebvre, Benjamin Driesen, Cora J. Fujiwara, Frank Corapi, Fr\'ed\'eric Chevy, Joseph H. Thywissen, Robyn T. Learn, Xavier Leyronas

In strongly interacting lattice metals, collisional resistivity saturates to a constant value independent of interaction strength.

arxiv:2510.19395 v3 · 2025-10-22 · cond-mat.quant-gas · physics.atom-ph

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Claims

C1strongest claim

In the strongly interacting metallic regime, we observe a striking saturation of the current-dissipation rate towards a value that is independent of the interaction strength. This phenomenon is quantitatively captured by a dissipation model that uses a renormalized two-body scattering matrix.

C2weakest assumption

The assumption that a renormalized two-body scattering matrix remains sufficient to describe dissipation even in the strongly interacting many-body regime, without requiring explicit inclusion of higher-order scattering processes or lattice-specific corrections beyond renormalization.

C3one line summary

Saturation of collisional resistivity to an interaction-independent value is observed in strongly interacting ultracold fermions in a 3D lattice and captured by a renormalized two-body scattering model.

References

43 extracted · 43 resolved · 0 Pith anchors

[1] and to control Joule heating [29] such that the aver- age temperature is relatively constant across the conduc- tivity spectrum. We find that|R x|≲1µm is typically required to meet these constraints.

[2] E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, Thresh- old and resonance phenomena in ultracold ground-state collisions, Phys. Rev. A47, 4114 (1993) 1993

[3] C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Fes- hbach resonances in ultracold gases, Reviews of Modern Physics82, 1225 (2010) 2010

[4] Zwerger, ed.,The BCS-BEC Crossover and the Uni- tary Fermi Gas(Springer, Berlin, 2012) 2012

[5] I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys.80, 885 (2008) 2008

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-28T01:04:31.948996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715dc288b5389d83a3880db8d835d2e1b8624cb24829d622c09ec8404f96009e

Aliases

arxiv: 2510.19395 · arxiv_version: 2510.19395v3 · doi: 10.48550/arxiv.2510.19395 · pith_short_12: OFO4FCFVHCOY · pith_short_16: OFO4FCFVHCOYHI4I · pith_short_8: OFO4FCFV

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OFO4FCFVHCOYHI4IBW4NQNOS4G \
  | 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: 715dc288b5389d83a3880db8d835d2e1b8624cb24829d622c09ec8404f96009e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144a458fa646ea716e2e6218c55db11876c9f2a028b71bc5dcbcdb27028779b6",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2025-10-22T09:12:52Z",
    "title_canon_sha256": "ddef5c67e61614215650a75b21efdb23c68c0ac011f3ed2e16238e2025033f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.19395",
    "kind": "arxiv",
    "version": 3
  }
}