Pith Number

pith:XZTMQCGU

pith:2026:XZTMQCGUPJEG67DG7DDZ2MQADR

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Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal

Qi-Bo Zeng, Rong L\"u

A non-Hermitian quasicrystal model hosts a topological Anderson insulator that coexists with a multifractal critical phase.

arxiv:2602.14026 v2 · 2026-02-15 · cond-mat.dis-nn

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\pithnumber{XZTMQCGUPJEG67DG7DDZ2MQADR}

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Record completeness

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4 Citations open

5 Replications open

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Claims

C1strongest claim

We uncover an unanticipated coexistence of TAI and multifractal critical phases. We establish complete phase diagrams and derive exact analytical boundaries for both topological and localization transitions.

C2weakest assumption

The specific functional form of the quasiperiodic modulation of the nonreciprocal intracell hopping is assumed to permit exact analytical solutions for the phase boundaries; if this functional choice is not generic, the reported coexistence and exact boundaries may be model-specific rather than universal.

C3one line summary

A non-Hermitian quasicrystal model exhibits coexistence of a topological Anderson insulator phase and a multifractal critical phase, with exact analytical boundaries for both topological and localization transitions.

References

92 extracted · 92 resolved · 3 Pith anchors

[1] M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys.82,3045 (2010) 2010

[2] X.-L. Qi and S.-C. Zhang, Topological insulators and su- perconductors, Rev. Mod. Phys.83,1057 (2011) 2011

[3] N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys.90,015001 (2018) 2018

[4] H. Cao and J. Wiersig, Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics, Rev. Mod. Phys.87,61 (2015) 2015

[5] V. V. Konotop, J. Yang, and D. A. Zezyulin, Nonlinear waves in PT-symmetric systems, Rev. Mod. Phys.88, 035002 (2016) 2016

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:23.506772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be66c808d47a486f7c66f8c79d32001c790be8024d3df475fca87d961297bcf6

Aliases

arxiv: 2602.14026 · arxiv_version: 2602.14026v2 · doi: 10.48550/arxiv.2602.14026 · pith_short_12: XZTMQCGUPJEG · pith_short_16: XZTMQCGUPJEG67DG · pith_short_8: XZTMQCGU

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XZTMQCGUPJEG67DG7DDZ2MQADR \
  | 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: be66c808d47a486f7c66f8c79d32001c790be8024d3df475fca87d961297bcf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ff94f4bbc503caf60c2d005b239c2d6d1a8ed2e0698e167b387564484628f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-02-15T07:12:55Z",
    "title_canon_sha256": "e4e35679913febeae9456282f941a93ca868d467c64c5004e56df24e64d12267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14026",
    "kind": "arxiv",
    "version": 2
  }
}