Pith Number

pith:AWRWW33C

pith:2026:AWRWW33CBBQRQT2FFPSQJ6EFSH

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Relativistic theory for coupled orbital and spin angular momentum dynamics in magnetic systems

Marco Berritta, Peter M. Oppeneer, Ritwik Mondal, Subhadip Santra

Under the atomistic Heisenberg approximation, total angular momentum J equals S plus L stays conserved in magnetic systems even when electromagnetic fields are applied.

arxiv:2605.16830 v1 · 2026-05-16 · cond-mat.other · cond-mat.mtrl-sci

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Claims

C1strongest claim

Under the atomistic Heisenberg approximation for exchange, the total angular momentum J = S + L remains conserved even in the presence of an electromagnetic field, while the individual atomic spin and orbital angular momenta are not conserved.

C2weakest assumption

The atomistic Heisenberg approximation for the exchange interaction is sufficient to preserve total angular momentum conservation in the presence of electromagnetic fields (abstract and derived equations section).

C3one line summary

Relativistic derivation of coupled spin-orbital angular momentum dynamics in magnetic systems, with total J conserved under Heisenberg exchange even in the presence of electromagnetic fields.

References

118 extracted · 118 resolved · 0 Pith anchors

[1] Orbital angular momentum dynamics The dynamics of the orbital angular momentum is gov- erned by the Heisenberg equation dL dt = 1 iℏ [L,H 0 +H int].(7) Its explicit form is obtained by making use of E

[2] Spin angular momentum dynamics The Heisenberg equation for the spin dynamics in ab- sence of external fields using the unperturbed Hamilto- 5 nian [viz.Eq. (4)] is calculated as dS dt 0 =− 1 2m2c2 drV

[3] Total angular momentum dynamics The total magnetic moment is given byM= (L+ gsS)(µB/ℏ) whereg s is the sping-factor. The value of gs for a Dirac point particle is usually considered to have a value of

[4] (2), specifically in the terms Hxc =−µ B σ·B xc eff + iµB 4m2c2 (p×B xc)·(p−eA)

[5] The orbital angular moment is hence taken as a local, atom-centered quantity (and not as an extended itinerant quantity [96])

Receipt and verification

First computed	2026-05-20T00:03:24.920232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a36b6f620861184f452be504f88591dcd6bb8ddf4dc26d89b1b344cfb2f231

Aliases

arxiv: 2605.16830 · arxiv_version: 2605.16830v1 · doi: 10.48550/arxiv.2605.16830 · pith_short_12: AWRWW33CBBQR · pith_short_16: AWRWW33CBBQRQT2F · pith_short_8: AWRWW33C

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AWRWW33CBBQRQT2FFPSQJ6EFSH \
  | 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: 05a36b6f620861184f452be504f88591dcd6bb8ddf4dc26d89b1b344cfb2f231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ffc4be41017a77770259142d0f3c9ed069d9e55867ede83ab67f5bc304a8947",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2026-05-16T06:18:44Z",
    "title_canon_sha256": "10fd45c80d7575297bab12d14a63aab4c342dbeb8211adba21a597a2cd62a6bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16830",
    "kind": "arxiv",
    "version": 1
  }
}