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Exact Nonequilibrium Transport in the Topological Kondo Effect

2016/10/31 by Benjámin Béri, B. Béri · 1 citation
Materials Science · Physics and Astronomy · #Electrical resistivity and conductivity #Fano factor #Fermion #Graphene research and applications #Kondo effect #Kondo insulator #Kondo model #Mesoscopic physics #Non-equilibrium thermodynamics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Shot noise #Topological Materials and Phenomena #Topological quantum number #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.119.027701

published as Phys. Rev. Lett. 119, 027701 (2017) · v2: accepted version

openalex publication_date 2017/07/14 · arxiv created 2019/07/15 · arxiv updated 2019/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A leading candidate for the experimental confirmation of the nonlocal quantum dynamics of Majorana fermions is the topological Kondo effect, predicted for mesoscopic superconducting islands connected to metallic leads. We identify an anisotropic, Toulouse-like, limit of the topological Kondo problem where the full nonequilibrium conductance and shot noise can be calculated exactly. Near the Kondo fixed point, we find novel asymptotic features including a universal conductance scaling function and fractional charge quantization observable via the Fano factor. In the universal regime, our results apply for generic anisotropy and even away from the Kondo limit as long as the system supports an emergent topological Kondo fixed point. Our approach thus provides key new qualitative insights and exact expressions for quantitative comparisons to future experimental data.

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