dorsal/arxiv
View SchemaUniversal Transport Theory for Paired Fractional Quantum Hall States in the Quantum Point Contact Geometry
| Authors | Eslam Ahmed, Ryoi Ohashi, Hiroki Isobe, Kentaro Nomura, Yukio Tanaka |
|---|---|
| Categories | |
| ArXiv ID | 2601.08792vv1 |
| URL | https://arxiv.org/abs/2601.08792 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Even-denominator fractional quantum Hall (FQH) states can be viewed as topological superconductors of composite fermions, supporting a charged chiral mode and $|\mathcal{C}_{cf}|$ neutral Majorana modes set by the Chern number $\mathcal{C}_{cf}$. Despite ongoing efforts, distinguishing the many competing paired phases remains an open problem. In this work, we propose a unified theory of charge transport across a quantum point contact (QPC) for general paired FQH states described by an $so(N)_1 \times u(1)$ conformal field theory. We derive the boundary effective action for an arbitrary number of Majorana fermions $N=|\mathcal{C}_{cf}|$ and develop a non-perturbative instanton approximation to describe tunneling processes. 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.
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"abstract": "Even-denominator fractional quantum Hall (FQH) states can be viewed as topological superconductors of composite fermions, supporting a charged chiral mode and $|\\mathcal{C}_{cf}|$ neutral Majorana modes set by the Chern number $\\mathcal{C}_{cf}$. Despite ongoing efforts, distinguishing the many competing paired phases remains an open problem. In this work, we propose a unified theory of charge transport across a quantum point contact (QPC) for general paired FQH states described by an $so(N)_1 \\times u(1)$ conformal field theory. We derive the boundary effective action for an arbitrary number of Majorana fermions $N=|\\mathcal{C}_{cf}|$ and develop a non-perturbative instanton approximation to describe tunneling processes. 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.",
"arxiv_id": "2601.08792",
"authors": [
"Eslam Ahmed",
"Ryoi Ohashi",
"Hiroki Isobe",
"Kentaro Nomura",
"Yukio Tanaka"
],
"categories": [
"cond-mat.mes-hall",
"cond-mat.str-el"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Universal Transport Theory for Paired Fractional Quantum Hall States in the Quantum Point Contact Geometry",
"url": "https://arxiv.org/abs/2601.08792",
"version": "v1"
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