Pith Number

pith:GAQNPTDV

pith:2026:GAQNPTDV3CKMBQNRGCKN22QAGH

not attested not anchored not stored refs resolved

Larkin-Ovchinnikov-Fulde-Ferrell state of spin polarized atomic Fermi superfluid on a spherical surface

Chih-Chun Chien, Yan He

Spin-polarized Fermi superfluids on a spherical surface support LOFF states with multiple nodes that become more stable at higher polarization but only near the uniform phase boundary.

arxiv:2605.14985 v1 · 2026-05-14 · cond-mat.quant-gas · cond-mat.supr-con · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAQNPTDV3CKMBQNRGCKN22QAGH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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 LOFF states with multiple nodes in the order parameter become more stable at higher spin polarization. However, the LOFF state only survives close to the phase boundary where the uniform solutions vanish, indicating fragility of the LOFF state on a spherical surface.

C2weakest assumption

The thin spherical shell approximation together with the mean-field BdG treatment remains quantitatively accurate without significant corrections from radial thickness, quantum fluctuations, or finite-temperature effects.

C3one line summary

LOFF states with multiple nodes in the order parameter are energetically favorable over uniform solutions near the phase boundary in spin-polarized atomic Fermi superfluids on a spherical surface.

References

71 extracted · 71 resolved · 0 Pith anchors

[1] Within the uniform-solution regime Overlapping with the regime where uniform solutions can be found but near the phase boundary, the LOFF solutions can be obtained from the BdG equation. Fig. 3 shows

[2] tically to accommodate the polarization uniformly while the LOFF state allows modulating population imbalance in real space

[3] 2, the default solutions are phase separa- tion between BCS superﬂuid and polarized normal phase similar to 3D population imbalanced Fermi gases [54, 55]

[4] A. I. Larkin and Y. N. Ovchinnikov, Nonuniform state of superconductors, Zh. Eksperim. Teor. Fiz. 47, (1964) 1964

[5] P. Fulde and R. A. Ferrell, Superconductivity in a strong spin-exchange ﬁeld, Phys. Rev. 135, A550 (1964) 1964

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:38:55.071698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3020d7cc75d894c0c1b13094dd6a0031eff1d1f12e8a7a6316d3110994c1011e

Aliases

arxiv: 2605.14985 · arxiv_version: 2605.14985v1 · doi: 10.48550/arxiv.2605.14985 · pith_short_12: GAQNPTDV3CKM · pith_short_16: GAQNPTDV3CKMBQNR · pith_short_8: GAQNPTDV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GAQNPTDV3CKMBQNRGCKN22QAGH \
  | 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: 3020d7cc75d894c0c1b13094dd6a0031eff1d1f12e8a7a6316d3110994c1011e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdd6cac9f3e7165b905c46f9d9538002a3e416bf916a8e8b87615fae5c6d70c",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-05-14T15:48:19Z",
    "title_canon_sha256": "c6ce32b3b0770bb177866977890663cd35f62b1933a35357dd75b547c49aa307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14985",
    "kind": "arxiv",
    "version": 1
  }
}