Pith Number

pith:GQJD4CYK

pith:2026:GQJD4CYKWHTAA65NASL5KDJ6VV

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Fermi Surface Geometry from Charge Fluctuations in Three-Dimensional Metals

F. D. M. Haldane, Pok Man Tam, Shinsei Ryu, Xiao-Chuan Wu, Yarden Sheffer

Bipartite charge fluctuations in three-dimensional metals encode the shape and quantum geometry of Fermi surfaces in a logarithmic term.

arxiv:2605.13951 v1 · 2026-05-13 · cond-mat.mes-hall · cond-mat.quant-gas · cond-mat.str-el · hep-th · quant-ph

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Claims

C1strongest claim

For three-dimensional non-interacting multi-band metals, important information about the shape and the quantum geometry of Fermi surfaces is encoded in the subleading logarithmic term of bipartite charge fluctuations, which can be expressed as Fermi surface integrals of the curvature tensor and the quantum metric tensor.

C2weakest assumption

The derivation assumes non-interacting electrons with well-defined Fermi surfaces; the topological bound further requires that the real-space partition surface is a quadric (sphere or ellipsoid).

C3one line summary

Bipartite charge fluctuations in 3D metals encode Fermi surface geometry and quantum metric via a logarithmic term expressible as surface integrals of curvature and quantum metric tensors.

References

104 extracted · 104 resolved · 1 Pith anchors

[1] J. Provost and G. Vallee, Riemannian structure on manifolds of quantum states, Communications in Mathematical Physics 76, 289 (1980) 1980

[2] M. V . Berry, Quantal phase factors accompanying adiabatic changes, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences392, 45 (1984) 1984

[3] A. Shapere and F. Wilczek,Geometric phases in physics, V ol. 5 (World scientific, 1989) 1989

[4] I. Souza, T. Wilkens, and R. M. Martin, Polarization and lo- calization in insulators: Generating function approach, Phys. Rev. B62, 1666 (2000) 2000

[5] M. Z. Hasan and C. L. Kane, Colloquium: Topological insu- lators, Rev. Mod. Phys.82, 3045 (2010) 2010

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:13.732026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34123e0b0ab1e6007bad0497d50d3ead569b571c170c63d8e5f08f6b8d8384a4

Aliases

arxiv: 2605.13951 · arxiv_version: 2605.13951v1 · doi: 10.48550/arxiv.2605.13951 · pith_short_12: GQJD4CYKWHTA · pith_short_16: GQJD4CYKWHTAA65N · pith_short_8: GQJD4CYK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQJD4CYKWHTAA65NASL5KDJ6VV \
  | 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: 34123e0b0ab1e6007bad0497d50d3ead569b571c170c63d8e5f08f6b8d8384a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fbc35d39ba5f92d998fbffc77d7ba9a5228f8ba5f108de6ee8fc52992181153",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.str-el",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-13T18:00:00Z",
    "title_canon_sha256": "1b09e6f117f6dcb8b45086b09038f89a6b2a2bd1726b44fda8bcc48364ed9769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13951",
    "kind": "arxiv",
    "version": 1
  }
}