Pith Number

pith:URKRVVGP

pith:2025:URKRVVGPER2WWUGS4SDGE4HZDQ

not attested not anchored not stored refs pending

Spin responses of a disordered helical superconducting edge under Zeeman field

Mir Vahid Hosseini, Zeinab Bakhshipour

The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling.

arxiv:2511.04263 v4 · 2025-11-06 · cond-mat.str-el · cond-mat.mes-hall

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Claims

C1strongest claim

The Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the relevant regime for disorder; disorder induces logarithmic suppression of transverse density-wave correlations while introducing positive logarithmic corrections that enhance superconducting pair correlations and contribute to their stability, directly modifying the scaling of spin conductance.

C2weakest assumption

Bosonization combined with renormalization-group flow remains quantitatively reliable for the disordered helical edge once the Zeeman field and superconducting pairing terms are included, without additional relevant operators or strong-coupling fixed points that would invalidate the perturbative analysis.

C3one line summary

Zeeman field tunes the competition between superconductivity and disorder effects in helical edges, with disorder causing logarithmic suppression of density-wave correlations and enhancement of superconducting ones that alters spin conductance scaling.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:06:06.814192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4551ad4cf24756b50d2e4866270f91c2fba80b9abebc5cd128afbf85b9a21b0

Aliases

arxiv: 2511.04263 · arxiv_version: 2511.04263v4 · doi: 10.48550/arxiv.2511.04263 · pith_short_12: URKRVVGPER2W · pith_short_16: URKRVVGPER2WWUGS · pith_short_8: URKRVVGP

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/URKRVVGPER2WWUGS4SDGE4HZDQ \
  | 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: a4551ad4cf24756b50d2e4866270f91c2fba80b9abebc5cd128afbf85b9a21b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da03734ca185634353c5b1f082f4242467a6b14c106f691ba18be5cdf0801ea2",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-11-06T10:51:53Z",
    "title_canon_sha256": "eae7cd416e55d936bc441eb63ced7f419f8a0f48f13eb9216dabc5fc37d6fa73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.04263",
    "kind": "arxiv",
    "version": 4
  }
}