Pith Number

pith:IZYBNT4U

pith:2026:IZYBNT4U4X7S3NKTZGYYCX5KQG

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Topology and edge modes surviving criticality in non-Hermitian Floquet systems

Longwen Zhou

Winding numbers defined via Cauchy's principle on generalized Brillouin zones unify topology for both gapped and gapless phases in non-Hermitian Floquet systems.

arxiv:2602.12588 v2 · 2026-02-13 · cond-mat.mes-hall · cond-mat.stat-mech · quant-ph

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Claims

C1strongest claim

We introduce winding numbers by applying the Cauchy's argument principle to generalized Brillouin zone (GBZ), yielding unified topological characterizations and bulk-edge correspondence in both gapped phases and at gapless critical points.

C2weakest assumption

The assumption that sublattice symmetry in one-dimensional non-Hermitian Floquet models permits a well-defined generalized Brillouin zone to which Cauchy's argument principle can be applied without additional restrictions at criticality.

C3one line summary

Non-Hermitian Floquet systems host gapless symmetry-protected topological phases with unified winding numbers and robust edge modes surviving at criticality.

References

91 extracted · 91 resolved · 1 Pith anchors

[1] The roles of disorder and interactions in non-Hermitian Floquet gSPTs also deserve more thorough explorations

[2] T. Scaffidi, D. E. Parker, and R. Vasseur, Gapless Symmetry-Protected Topological Order, Phys. Rev. X7, 041048 (2017) 2017

[3] R. Verresen, R. Thorngren, N. G. Jones, and F. Pollmann, Gapless Topological Phases and Symmetry- Enriched Quantum Criticality, Phys. Rev. X11, 041059 (2021) 2021

[4] Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, and A. Stern, Coexisting Edge States and Gapless Bulk in Topo- logical States of Matter, Phys. Rev. Lett.114, 136801 (2015) 2015

[5] A. Keselman and E. Berg, Gapless symmetry-protected topological phase of fermions in one dimension, Phys. Rev. B91, 235309 (2015) 2015

Formal links

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Cited by

1 paper in Pith

Boundary Floquet Control of Bulk non-Hermitian Systems

Receipt and verification

First computed	2026-05-17T23:39:16.185882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467016cf94e5ff2db553c9b1815faa81ba4bd17391b8b75dc9b00371879a86c6

Aliases

arxiv: 2602.12588 · arxiv_version: 2602.12588v2 · doi: 10.48550/arxiv.2602.12588 · pith_short_12: IZYBNT4U4X7S · pith_short_16: IZYBNT4U4X7S3NKT · pith_short_8: IZYBNT4U

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IZYBNT4U4X7S3NKTZGYYCX5KQG \
  | 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: 467016cf94e5ff2db553c9b1815faa81ba4bd17391b8b75dc9b00371879a86c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5958050d0e95df1aaf6a9af0ec3ddfe0deb2be80ae5f7c448eaee3063ef9273d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-02-13T04:01:55Z",
    "title_canon_sha256": "879ab30b48ea064b8007039cd113304c2260cf1a82693a390c181752c1d9956f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.12588",
    "kind": "arxiv",
    "version": 2
  }
}