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

Letter

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

Francesco Buccheri, Andrea Nava, Reinhold Egger, Pasquale Sodano, and Domenico Giuliano

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

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.

Received 12 August 2021
Accepted 25 January 2022

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

Physics Subject Headings (PhySH)

Majorana bound states Majorana fermions Quantum transport Thermal conductivity

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

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

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 105, Iss. 8 — 15 February 2022

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review B

covering condensed matter and materials physics