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pith:NAMSIDXE

pith:2026:NAMSIDXE4EIZKAVJOU4PGOCYW2
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Non-Relativistic Spin-Orbit Interaction in Triplet Superconductors: Edelstein Effect and Spin Pumping by Electric Fields

G. A. Bobkov, I. V. Bobkova, Ping Li, Tao Yu

Triplet pairing creates a momentum-dependent spin texture that lets electric fields generate spin polarization in p-wave superconductors even without relativistic spin-orbit coupling.

arxiv:2605.15610 v1 · 2026-05-15 · cond-mat.supr-con

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Claims

C1strongest claim

the triplet order parameter induces a wave-vector-dependent spin texture of Bogoliubov quasiparticles, thereby entangling their orbital and spin motions. Even in the absence of relativistic spin-orbit coupling, this intertwining of spin and orbital motion allows an electric field to generate spin polarization in a p-wave superconductor -- that is, an Edelstein effect.

C2weakest assumption

The modeling assumes that the triplet pairing symmetry alone produces the described wave-vector-dependent spin texture and resulting Edelstein effect when relativistic spin-orbit coupling terms are omitted from the Hamiltonian.

C3one line summary

Triplet superconductors exhibit non-relativistic momentum-dependent spin splitting from the pairing order parameter, enabling an Edelstein effect and electric-field-driven spin pumping without relativistic spin-orbit coupling.

References

76 extracted · 76 resolved · 0 Pith anchors

[1] M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010) 2010
[2] X. L. Qi and S. C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011) 2011
[3] C. X. Liu, S. C. Zhang, and X. L. Qi, The quantum anomalous Hall effect: Theory and experiment, Annu. Rev. Condens. Matter Phys. 7, 301 (2016) 2016
[4] Y. F. Ren, Z. H. Qiao, and Q. Niu, Topological phases in two-dimensional materials: a review, Rep. Progr. Phys. 79, 066501 (2016) 2016
[5] X. G. Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev. Mod. Phys. 89, 041004 (2017) 2017

Formal links

2 machine-checked theorem links

Receipt and verification
First computed 2026-05-20T00:01:08.031369Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6819240ee4e1119502a97538f33858b6b5e79a4ce4d02f4e548e6c89375f167a

Aliases

arxiv: 2605.15610 · arxiv_version: 2605.15610v1 · doi: 10.48550/arxiv.2605.15610 · pith_short_12: NAMSIDXE4EIZ · pith_short_16: NAMSIDXE4EIZKAVJ · pith_short_8: NAMSIDXE
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NAMSIDXE4EIZKAVJOU4PGOCYW2 \
  | 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: 6819240ee4e1119502a97538f33858b6b5e79a4ce4d02f4e548e6c89375f167a
Canonical record JSON
{
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    "abstract_canon_sha256": "734376b00ab3bd6a82d4064c09af875c0b0e89600c629b23bba9c497757887fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.supr-con",
    "submitted_at": "2026-05-15T04:45:35Z",
    "title_canon_sha256": "00f74ab5af2353a35537ce3a77ef9b0cb890746b0a2b72ddd30c9a8765b57406"
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