Pith Number

pith:EMA6TRE2

pith:2025:EMA6TRE255JKPMCPWXYEM4XPIQ

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Emergent Pair Density Wave Order Across a Lifshitz Transition

Adrian E. Feiguin, Elbio Dagotto, Luhang Yang

In the Kondo-Heisenberg chain, pair-density-wave order emerges across a Lifshitz transition and produces a dispersion with two minima and four Fermi points.

arxiv:2503.19761 v4 · 2025-03-25 · cond-mat.str-el · cond-mat.supr-con

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Claims

C1strongest claim

The PDW phase is characterized by a dispersion with two minima and four Fermi points, indicating the emergence of an effective next-nearest-neighbor hopping that arises as a second-order effect to avoid magnetic frustration. The pairs appear in the spectrum as in-gap bound states with weight concentrated in the hole pockets.

C2weakest assumption

The observed in-gap bound states and the four-Fermi-point dispersion are interpreted as direct signatures of PDW order rather than other competing orders or finite-size artifacts; this interpretation is taken to justify the mapping onto a generalized t-J model.

C3one line summary

DMRG calculations on the Kondo-Heisenberg chain show PDW order emerging across a Lifshitz transition via effective next-nearest-neighbor hopping and in-gap bound states.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Valence-bonds, spin liquids and unconventional criticality in a 1D Kondo insulator

Receipt and verification

First computed	2026-06-23T02:13:14.730704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2301e9c49aef52a7b04fb5f04672ef440287aac9c0eb6aecd47d40a3a52f9d2d

Aliases

arxiv: 2503.19761 · arxiv_version: 2503.19761v4 · doi: 10.48550/arxiv.2503.19761 · pith_short_12: EMA6TRE255JK · pith_short_16: EMA6TRE255JKPMCP · pith_short_8: EMA6TRE2

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EMA6TRE255JKPMCPWXYEM4XPIQ \
  | 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: 2301e9c49aef52a7b04fb5f04672ef440287aac9c0eb6aecd47d40a3a52f9d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82f9d41fdfd1fbcfa832a7de61bd0c0ead776b76c642f9ae7bab30f78ae4d09",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-03-25T15:26:37Z",
    "title_canon_sha256": "78476d15487ce5bb3a3be0ac9196e9f856ba9f814f9cf7ad3437addabede7b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.19761",
    "kind": "arxiv",
    "version": 4
  }
}