pith. sign in
Pith Number

pith:ERH6DPCZ

pith:2026:ERH6DPCZKLVYWMPUMCQZ4BSOQD
not attested not anchored not stored refs resolved

Collective excitations in chiral spin liquid: chiral roton and long-wavelength nematic mode

Hongyu Lu, Wang Yao, Wei Zhu

Chiral spin liquids host a low-energy chiral p-wave roton at finite momentum and a higher-energy d-wave nematic mode at zero momentum.

arxiv:2601.20702 v3 · 2026-01-28 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ERH6DPCZKLVYWMPUMCQZ4BSOQD}

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

we observe two spin-singlet collective modes: a chiral p-wave (low-energy) roton mode at finite momentum and a elliptically polarized d-wave (higher-energy) nematic mode at zero momentum, both of which are prominent across the CSL phase.

C2weakest assumption

The numerical methods (exact diagonalization on small clusters and time-dependent variational principle) faithfully capture the collective modes without significant finite-size artifacts or variational bias in the identified chiral spin liquid regime.

C3one line summary

Numerical calculations reveal a chiral p-wave roton mode at finite momentum and a d-wave nematic mode at zero momentum in the SU(2) symmetric chiral spin liquid phase of the J1-J2-Jχ model.

References

68 extracted · 68 resolved · 1 Pith anchors

[1] The Hilbert subspace of theN s = 36in each momentum sector has∼2.52×10 8 basis states, which is is close to the practical computational limit of our ED calculations. Within the single-mode approximati
[2] L. Savary and L. Balents, Reports on Progress in Physics80, 016502 (2016) 2016
[3] Y . Zhou, K. Kanoda, and T.-K. Ng, Rev. Mod. Phys.89, 025003 (2017) 2017
[4] Broholm , author R 2020 · doi:10.1126/science.aay0668
[5] V . Kalmeyer and R. B. Laughlin, Phys. Rev. Lett.59, 2095 (1987) 2095

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T02:44:31.814270Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

244fe1bc5952eb8b31f460a19e064e80f6115c4d7d62534fae2b89ccbc00edd6

Aliases

arxiv: 2601.20702 · arxiv_version: 2601.20702v3 · doi: 10.48550/arxiv.2601.20702 · pith_short_12: ERH6DPCZKLVY · pith_short_16: ERH6DPCZKLVYWMPU · pith_short_8: ERH6DPCZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ERH6DPCZKLVYWMPUMCQZ4BSOQD \
  | 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: 244fe1bc5952eb8b31f460a19e064e80f6115c4d7d62534fae2b89ccbc00edd6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d01a1bd961864677656de2a593e6c08a987edb56f6569b0969fa502078d66580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-01-28T15:34:48Z",
    "title_canon_sha256": "119fe64d2406ec24122817cd830244b65840be06f85ac9b2c858190176fc91e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.20702",
    "kind": "arxiv",
    "version": 3
  }
}