Power-Law Tunneling of Moore-Read Pfaffian e/4 Quasiparticles at ν=5/2 — E8 Intelligence Research

FINDING: Moore-Read Pfaffian quasiparticles (charge e/4, Ising non-Abelian anyons) tunnel across QPC/antidot constrictions with power-law conductance set by filling fraction and conformal-field-theory scaling dimensions | MATH: ν=5/2; e* = e/4; edge theory = chiral Luttinger liquid, c=1 charged boson ⊕ c=1/2 Ising (Majorana) sector; tunneling current I ∝ V^α with α = 2Δ − 1, Δ = conformal dimension; for e/4 (σ field) Δ_σ = 1/8 → α = −3/4 (suppressed); for e/2 (ψ, fermion) Δ_ψ = 1/2 → α = 0 (Ohmic); antidot Coulomb-blockade peak spacing ΔV ∝ e/C, periodicity reveals e* = e/4 | CONNECTION: Ising CFT central charge c = 1/2 and scaling dimension Δ_σ = 1/8 sit inside the modular-invariant partition function with S-matrix S = (1/√2)[[1,1],[1,−1]] — a ℤ₂ (D₂ root-system / crystallographic) fusion algebra σ×σ = 1 + ψ; the golden-ratio Fibonacci alternative (Δ_τ = 2/5, d_τ = φ = 1.618) is the competing non-Abelian order, so the Pfaffian-vs-Fibonacci discrimination is literally a test between ℤ₂ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com