Violation of the Wiedemann-Franz law in the topological Kondo model

Francesco Buccheri; Andrea Nava; Reinhold Egger; Pasquale Sodano; Domenico Giuliano

doi:10.1103/PhysRevB.105.L081403

Letter

Violation of the Wiedemann-Franz law in the topological Kondo model

Francesco Buccheri ^1,*, Andrea Nava ^2,3, Reinhold Egger ¹, Pasquale Sodano ⁴, and Domenico Giuliano ^2,3,†

¹Institut für Theoretische Physik, Heinrich-Heine Universität, D-40225 Düsseldorf, Germany
²Dipartimento di Fisica, Università della Calabria, Arcavacata di Rende, I-87036 Cosenza, Italy
³INFN - Gruppo Collegato di Cosenza, Arcavacata di Rende, I-87036 Cosenza, Italy
⁴INFN, Sezione di Perugia, Via A. Pascoli, I-06123 Perugia, Italy

^*buccheri@hhu.de
^†domenico.giuliano@fis.unical.it

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Phys. Rev. B 105, L081403 – Published 4 February, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L081403

Abstract

We study the thermal transport through a Majorana island connected to multiple external quantum wires. In the presence of a large charging energy, we find that the Wiedemann-Franz law is nontrivially violated at low temperature, contrarily to what happens for the overscreened Kondo effect and for nontopological junctions. For three wires, we find that the Lorenz ratio is rescaled by a universal factor $2 / 3$ and we show that this behavior is due to the presence of localized Majorana modes on the island.

Physical Review B

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Violation of the Wiedemann-Franz law in the topological Kondo model

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Violation of the Wiedemann-Franz law in the topological Kondo model

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