Pith Number

pith:JWOCAN5J

pith:2025:JWOCAN5JFJAVTRV5CZ36YZ2D2Y

not attested not anchored not stored refs resolved

Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling

Amartya Pal, Arijit Saha, Debashish Mondal, Tanay Nag

A 1D model with unconventional magnetic order and Ising spin-orbit coupling supports topological superconductivity in BCS and FFLO states along with a field-free superconducting diode effect.

arxiv:2512.01266 v2 · 2025-12-01 · cond-mat.mes-hall · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWOCAN5JFJAVTRV5CZ36YZ2D2Y}

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

Both the conventional BCS and finite-momentum FFLO pairing states can support topological superconductivity, characterized by a nontrivial winding number, and lead to the emergence of four zero-energy Majorana modes localized at the ends of the 1D chain. The FFLO state further gives rise to an intrinsic field-free SDE, manifested as a nonreciprocal supercurrent and quantified by the diode efficiency η ∼ 65%.

C2weakest assumption

The self-consistent mean-field treatment of the attractive Hubbard interaction remains valid and captures the topological properties and diode efficiency without significant corrections from fluctuations or beyond-mean-field effects.

C3one line summary

A 1D model with unconventional magnetism plus Rashba and Ising SOC supports topological superconductivity with four Majorana end modes in both BCS and FFLO channels and yields a field-free SDE with diode efficiency around 65%.

References

110 extracted · 110 resolved · 1 Pith anchors

[1] +µ .(6) We introduce the chemical potentialµto tune the Fermi energy of the normal state of the system. Here, H(k+ q

[2] is governed by the normal state Hamilto- nian as mentioned in Eq. (1). The condensation en- ergy density for the superconducting state is defined as, Ω(q,∆) =F(q,∆)−F(q,0) withF(q,∆) is the free en- e

[3] Hence, ∆ q 0 is dependent on the value ofq 2023

[4] Unpaired Majorana fermions in quantum wires, 2001

[5] New directions in the pursuit of Majorana fermions in solid state systems, 2012

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:39:16.987586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d9c2037a92a4159c6bd1677ec6743d63ee5c89204a7a19d0990bb9750a6a957

Aliases

arxiv: 2512.01266 · arxiv_version: 2512.01266v2 · doi: 10.48550/arxiv.2512.01266 · pith_short_12: JWOCAN5JFJAV · pith_short_16: JWOCAN5JFJAVTRV5 · pith_short_8: JWOCAN5J

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/JWOCAN5JFJAVTRV5CZ36YZ2D2Y \
  | 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: 4d9c2037a92a4159c6bd1677ec6743d63ee5c89204a7a19d0990bb9750a6a957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1bbb777995f554f2510a85101c1b4a8ff29f911b1311ef74b5b39892ff21e8",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2025-12-01T04:20:12Z",
    "title_canon_sha256": "09d0d5fc2f15a1f793ab7246233e173999c44a0c4b296fa5e6d6090057ea9d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01266",
    "kind": "arxiv",
    "version": 2
  }
}