Dresden 2026 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 83: Topology: Quantum Hall Systems
TT 83.6: Talk
Thursday, March 12, 2026, 16:15–16:30, HSZ/0105
Universal Transport Theory for Paired Fractional Quantum Hall States in the Quantum Point Contact Geometry — •Eslam Ahmed1, Ryoi Ohashi2, Yukio Tanaka1, and Kentaro Nomura2 — 1Nagoya University, Nagoya, Japan — 2Kyushu University, Fukuoka, Japan
Even-denominator fractional quantum Hall (FQH) states can be viewed as topological superconductors of composite fermions, supporting a charged chiral mode and |C| neutral Majorana modes set by the Chern number C. Distinguishing the many competing paired phases remains an open problem. We develop a unified theory of transport through a quantum point contact (QPC) for arbitrary C by analyzing quasiparticle and electron tunneling within the edge CFT SO(|C|)1 ⊗ U(1). Using an instanton expansion, we show that strong quasiparticle tunneling is dual to weak electron tunneling for all even-denominator states. This duality yields universal scaling dimensions and identifies a stable insulating fixed point. The resulting transport exponents provide experimentally accessible signatures capable of distinguishing different paired FQH states.
Keywords: Fractional Quantum Hall Effect; Quantum Point Contact; Majorana Fermions; Weak–Strong Duality; Conformal Field Theory