Pith Number

pith:25R7LMXN

pith:2026:25R7LMXNPWT5N4CV4LWPYH44IK

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Corner Charge Fluctuations in Higher Dimensions

Dao-Xin Yao, Pok Man Tam, Shinsei Ryu, Xiao-Chuan Wu, Xuyang Liang, Zenan Liu, Zheng Yan

In three dimensions, trihedral corners of parallelepipeds produce a universal angle-dependent contribution to charge fluctuations that includes a term probing the quantum metric.

arxiv:2605.13971 v1 · 2026-05-13 · cond-mat.str-el · cond-mat.mes-hall · cond-mat.stat-mech · hep-th

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4 Citations open

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Claims

C1strongest claim

In three dimensions, we derive the universal angle dependence associated with trihedral corners of a generic parallelepiped and identify a wedge-corner contribution that directly probes the quantum metric.

C2weakest assumption

The lattice models and Monte Carlo simulations accurately capture the universal continuum behaviors predicted by the analytical derivations for the O(3) quantum critical point and the Weyl semimetal.

C3one line summary

Derives universal angle-dependent corner contributions to charge fluctuations in higher-dimensional quantum systems, with benchmarks at O(3) critical points and even-odd effects in metals.

References

103 extracted · 103 resolved · 0 Pith anchors

[1] McGreevy, Generalized symmetries in condensed mat- ter, Annu 2023

[2] arXiv:2205.09545 [hep-th] 2022

[3] J. Eisert, M. Cramer, and M. B. Plenio, Colloquium: Area laws for the entanglement entropy, Reviews of mod- ern physics82, 277 (2010) 2010

[4] Laflorencie, Quantum entanglement in condensed matter systems, Physics Reports646, 1 (2016) 2016

[5] Wen, Colloquium: Zoo of quantum-topological phases of matter, Reviews of Modern Physics89, 041004 (2017) 2017

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:13.493202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d763f5b2ed7da7d6f055e2ecfc1f9c42a58bd2165b5b317453f13be4e9f6bb61

Aliases

arxiv: 2605.13971 · arxiv_version: 2605.13971v1 · doi: 10.48550/arxiv.2605.13971 · pith_short_12: 25R7LMXNPWT5 · pith_short_16: 25R7LMXNPWT5N4CV · pith_short_8: 25R7LMXN

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/25R7LMXNPWT5N4CV4LWPYH44IK \
  | 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: d763f5b2ed7da7d6f055e2ecfc1f9c42a58bd2165b5b317453f13be4e9f6bb61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6a9544b815de050871de56ccd3e46fea64447a72dd85aecfe786b2b77f3e44",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-13T18:00:07Z",
    "title_canon_sha256": "408fa359c7e638dd20b14f94afed2f9f8491e3785a1d7333366614c19fe01451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13971",
    "kind": "arxiv",
    "version": 1
  }
}