Pith Number

pith:NW2NSMXW

pith:2026:NW2NSMXWOYG4OGCXO3UHL5RVSJ

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Universal Transport Theory for Paired Fractional Quantum Hall States in the Quantum Point Contact Geometry

Eslam Ahmed, Hiroki Isobe, Kentaro Nomura, Ryoi Ohashi, Yukio Tanaka

A weak-strong duality maps strong quasiparticle tunneling to weak electron tunneling and yields stable scaling exponents that distinguish paired fractional quantum Hall states.

arxiv:2601.08792 v2 · 2026-01-13 · cond-mat.mes-hall · cond-mat.str-el

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Claims

C1strongest claim

We establish a weak-strong duality relating strong quasiparticle tunneling to weak electron tunneling. We calculate the scaling dimensions of the tunneling operators and demonstrate that while the weak-coupling fixed point is generally unstable, the strong-coupling fixed point is stable for physically relevant filling fractions and number of Majorana fermions. These transport exponents provide a distinct experimental fingerprint to identify the topological phases of even-denominator FQH states.

C2weakest assumption

The paired FQH states are accurately described by an so(N)_1 × u(1) conformal field theory for arbitrary N = |C_cf|, and the non-perturbative instanton approximation remains valid across the relevant parameter range.

C3one line summary

A conformal field theory treatment of paired fractional quantum Hall states in the quantum point contact geometry yields stable strong-coupling fixed points and distinct transport scaling exponents that serve as fingerprints for identifying the underlying topological order.

References

50 extracted · 50 resolved · 0 Pith anchors

[1] G. Moore and N. Read, Nonabelions in the fractional quantum hall effect, Nuclear Physics B360, 362 (1991) 1991

[2] M. Levin, B. I. Halperin, and B. Rosenow, Particle-hole 9 symmetry and the pfaffian state, Phys. Rev. Lett.99, 236806 (2007) 2007

[3] S.-S. Lee, S. Ryu, C. Nayak, and M. P. A. Fisher, Particle-hole symmetry and theν= 5 2 quantum hall state, Phys. Rev. Lett.99, 236807 (2007) 2007

[4] D. T. Son, Is the composite fermion a dirac particle?, Phys. Rev. X5, 031027 (2015) 2015

[5] B. I. Halperin, Theory of the quantized hall conductance, helv. phys. acta56, 75 (1983) 1983

Cited by

1 paper in Pith

Phase-shift instanton approach to tunneling duality in Read--Rezayi state

Receipt and verification

First computed	2026-05-29T01:05:01.838842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db4d932f6760dc7185776e875f635924e5b1c209489e54e09f775b8d7ad013e

Aliases

arxiv: 2601.08792 · arxiv_version: 2601.08792v2 · doi: 10.48550/arxiv.2601.08792 · pith_short_12: NW2NSMXWOYG4 · pith_short_16: NW2NSMXWOYG4OGCX · pith_short_8: NW2NSMXW

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NW2NSMXWOYG4OGCXO3UHL5RVSJ \
  | 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: 6db4d932f6760dc7185776e875f635924e5b1c209489e54e09f775b8d7ad013e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ffa392fbfbad70f0e5dbe0a0044b7f411b739f410abed20e08fe6d17d3218a",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-01-13T18:26:51Z",
    "title_canon_sha256": "c63a88f4898ef1bd19e39834c39806ca3bbb76ed088d45a90902a76120c85dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.08792",
    "kind": "arxiv",
    "version": 2
  }
}