Pith Number

pith:EWFB22QV

pith:2026:EWFB22QVTKFDGVVRQBBIQFZ6Y2

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Dynamical scaling near the pseudogap quantum critical point of the two-dimensional Hubbard model

Andreas Gleis, Gabriel Kotliar, Jan von Delft, Mathias Pelz

The two-dimensional Hubbard model shows ω/T scaling of the form tanh(ω/2T) in spin and current susceptibilities near its pseudogap quantum critical point.

arxiv:2605.15060 v1 · 2026-05-14 · cond-mat.str-el

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Claims

C1strongest claim

Close to the critical doping, the local spin and cluster-current susceptibility spectra exhibit x=ω/T scaling of the form χ''(ω,T)∼tanh(x/2), and the cluster contribution to the optical conductivity obeys Tσ'cl(ω,T)∼tanh(x/2)/x, implying a 1/T cluster dc conductivity.

C2weakest assumption

That the four-patch DCA with NRG solver faithfully captures the low-energy dynamics and vertex corrections near the pseudogap QCP without significant finite-size or approximation artifacts that would alter the reported scaling forms.

C3one line summary

Numerical evidence shows ω/T scaling in susceptibilities and 1/T cluster conductivity near the pseudogap QCP in the 2D Hubbard model, consistent with marginal-Fermi-liquid self-energy and strange-metal transport.

References

125 extracted · 125 resolved · 0 Pith anchors

[1] In the strange metal regime this yieldedσ ′ cl,V ≫σ ′ latt,B, i.e

[2] B. Keimer, S. A. Kivelson, M. R. Norman, S. Uchida, and J. Zaanen, From quantum matter to high- temperature superconductivity in copper oxides, Nature 518, 179 (2015) 2015

[3] C. Castellani, C. Di Castro, and M. Grilli, Singular quasiparticle scattering in the proximity of charge in- stabilities, Phys. Rev. Lett.75, 4650 (1995) 1995

[4] C.M.Varma,Non-Fermi-liquidstatesandpairinginsta- bilityofageneralmodelofcopperoxidemetals,Physical Review B55, 14554 (1997) 1997

[5] C. M. Varma, Pseudogap phase and the quantum- critical point in copper-oxide metals, Physical Review Letters83, 3538 (1999) 1999

Formal links

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Receipt and verification

First computed	2026-05-17T23:38:54.295365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258a1d6a159a8a3356b1804288173ec6b41f36412d23c40e90b0426962f3827b

Aliases

arxiv: 2605.15060 · arxiv_version: 2605.15060v1 · doi: 10.48550/arxiv.2605.15060 · pith_short_12: EWFB22QVTKFD · pith_short_16: EWFB22QVTKFDGVVR · pith_short_8: EWFB22QV

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EWFB22QVTKFDGVVRQBBIQFZ6Y2 \
  | 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: 258a1d6a159a8a3356b1804288173ec6b41f36412d23c40e90b0426962f3827b

Canonical record JSON

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    "abstract_canon_sha256": "e959f5cb07f2dae5eb95137eb89706a6763fc733c0cb79cffa346c657ae58cc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-14T16:50:40Z",
    "title_canon_sha256": "a5622bda91f1e5f69a994d7af89197bc76b8ceb1af9736fc2dbd67e1b7353686"
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}