Pith Number

pith:2UAGYPIA

pith:2025:2UAGYPIAF5Z6LFNJYOJQCABGWE

not attested not anchored not stored refs pending

Quantum geometric map of magnetotransport

Fuming Xu, Jian Wang, Jinxiong Jia, Longjun Xiang

A quantum geometric map assigns magnetotransport effects to specific dipoles and quadrupoles of the quantum metric and Berry curvature.

arxiv:2510.02661 v2 · 2025-10-03 · cond-mat.mes-hall

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\pithnumber{2UAGYPIAF5Z6LFNJYOJQCABGWE}

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5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The spin- and orbital-induced MNHEs are governed by the time-reversal-even Zeeman quantum metric dipole and conventional quantum metric quadrupole, respectively; the spin- and orbital-induced PHEs are dominated by the time-reversal-odd Zeeman Berry curvature dipole and conventional Berry curvature quadrupole, respectively; the OHE contains an interband contribution related to the quantum metric quadrupole.

C2weakest assumption

That the magnetotransport phenomena originate from the bilinear charge current of Bloch electrons incorporating both spin Zeeman coupling and orbital minimal coupling to the applied magnetic field, with the assignments benchmarked solely against Onsager reciprocity.

C3one line summary

Proposes a unified quantum geometric framework mapping MNHE, PHE, and OHE to Zeeman and conventional quantum metric and Berry curvature dipoles and quadrupoles in Bloch electrons.

Formal links

2 machine-checked theorem links

Cited by

2 papers in Pith

Probing persistent spin textures through nonlinear magnetotransport

Third-order intrinsic anomalous Hall effect as a transport fingerprint of altermagnets

Receipt and verification

First computed	2026-06-10T01:09:44.477214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5006c3d002f73e595a9c393010026b101680f08e7f878f3d057daa605f586f1

Aliases

arxiv: 2510.02661 · arxiv_version: 2510.02661v2 · doi: 10.48550/arxiv.2510.02661 · pith_short_12: 2UAGYPIAF5Z6 · pith_short_16: 2UAGYPIAF5Z6LFNJ · pith_short_8: 2UAGYPIA

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2UAGYPIAF5Z6LFNJYOJQCABGWE \
  | 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: d5006c3d002f73e595a9c393010026b101680f08e7f878f3d057daa605f586f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02dc8bdc58e6a8841b822b9bb878035249e17cb15ff00b041bbd2cd5260a4ea2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2025-10-03T01:37:33Z",
    "title_canon_sha256": "3427a91c388f9198da904fff490c3f3d7e9fd75915cd51abe1c5533781ae785a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.02661",
    "kind": "arxiv",
    "version": 2
  }
}