Pith Number

pith:PPAHNY7L

pith:2025:PPAHNY7LEWKPTO4VAY7OTB5GOH

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Dispersion of collective modes in spinful fractional quantum Hall states on the sphere

Ajit C. Balram, Rakesh K. Dora

Composite fermion excitons accurately describe the dispersions of spin-flip and spin-conserving collective modes at all wavelengths in spinful fractional quantum Hall states.

arxiv:2509.13100 v3 · 2025-09-16 · cond-mat.str-el

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Claims

C1strongest claim

We find that the CF excitons provide an accurate description of the collective modes at all wavelengths, while the density-wave states fail to do so. Specifically, the spin-flip density wave reliably captures the spin-flip collective mode only for the Laughlin and Halperin states, and that too only in the long-wavelength limit.

C2weakest assumption

The LLL-projected density-wave and CF exciton states serve as sufficiently accurate trial wave functions for the collective modes, allowing their Coulomb dispersions to be extracted from the numerically computed static structure factor via the derived commutation algebra (abstract).

C3one line summary

CF exciton trial states accurately describe collective mode dispersions in spinful Jain-sequence FQH states at all wavelengths, while density-wave states fail except in limited cases, and a parton mode ansatz is proposed for spin-singlet states.

Formal links

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Receipt and verification

First computed	2026-05-20T00:02:54.686460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc076e3eb2594f9bb95063ee987a671ea15e98e4fa499e7ed0c0d67db18e58d

Aliases

arxiv: 2509.13100 · arxiv_version: 2509.13100v3 · doi: 10.48550/arxiv.2509.13100 · pith_short_12: PPAHNY7LEWKP · pith_short_16: PPAHNY7LEWKPTO4V · pith_short_8: PPAHNY7L

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PPAHNY7LEWKPTO4VAY7OTB5GOH \
  | 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: 7bc076e3eb2594f9bb95063ee987a671ea15e98e4fa499e7ed0c0d67db18e58d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93d5727fba6aea53f5dd6b25add44f97d82dce1f314dd2a96820034f7b46670",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-09-16T13:57:39Z",
    "title_canon_sha256": "eb62199ad364e2d1153da915bb8a382cb9fb47a81af388766ef21ca3c67897e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.13100",
    "kind": "arxiv",
    "version": 3
  }
}