Pith Number

pith:HXDXCTZT

pith:2026:HXDXCTZTHJP33NTY7RWHCNKY4J

not attested not anchored not stored refs resolved

Fine Structures of Berry Curvature and Unquantized Valley Chern Numbers in Valley Photonic Crystals

Masaya Notomi, Taiki Yoda, Wei Dai, Yuto Moritake

Valley Chern numbers in photonic crystals form a continuous spectrum rather than quantizing to half-integers.

arxiv:2603.27244 v1 · 2026-03-28 · physics.optics

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\usepackage{pith}
\pithnumber{HXDXCTZTHJP33NTY7RWHCNKY4J}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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 show that valley Chern numbers are generically unquantized and instead form a continuous spectrum varying with structural parameters.

C2weakest assumption

The numerical computation of Berry curvature over the half-Brillouin zone for a continuous family of structural parameters accurately reflects physical behavior without discretization artifacts or truncation effects that could produce an artificial continuous spectrum.

C3one line summary

Valley Chern numbers in photonic crystals form a continuous spectrum rather than being quantized, due to inter- and intra-valley Berry curvature cancellations.

References

36 extracted · 36 resolved · 0 Pith anchors

[1] D. Xiao, M.-C. Chang, and Q. Niu, Berry phase effects on electronic properties, Rev. Mod. Phys.82, 1959 (2010) 1959

[2] W. Yao, D. Xiao, and Q. Niu, Valley-dependent optoelec- tronics from inversion symmetry breaking, Phys. Rev. B 77, 235406 (2008) 2008

[3] A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys.81, 109 (2009) 2009

[4] D. Xiao, G.-B. Liu, W. Feng, X. Xu, and W. Yao, Cou- pled spin and valley physics in monolayers of mos 2 and other group-vi dichalcogenides, Phys. Rev. Lett.108, 196802 (2012) 2012

[5] M. Onoda, S. Murakami, and N. Nagaosa, Hall effect of light, Phys. Rev. Lett.93, 083901 (2004) 2004

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:37.207236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc7714f333a5fbdb678fc6c713558e250e6354c9ad5d161520b04e737bd8945

Aliases

arxiv: 2603.27244 · arxiv_version: 2603.27244v1 · doi: 10.48550/arxiv.2603.27244 · pith_short_12: HXDXCTZTHJP3 · pith_short_16: HXDXCTZTHJP33NTY · pith_short_8: HXDXCTZT

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/HXDXCTZTHJP33NTY7RWHCNKY4J \
  | 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: 3dc7714f333a5fbdb678fc6c713558e250e6354c9ad5d161520b04e737bd8945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f3530aa0a4c8904123b4849391ef1af5483054916be88db8fb1ce4acc6dada",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-03-28T11:35:26Z",
    "title_canon_sha256": "7cf8fe76662a4250d0729dd917358f68bd1b9eb7b6e23d254778599b7f25b4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.27244",
    "kind": "arxiv",
    "version": 1
  }
}