Violation of the Wiedemann-Franz law in the Topological Kondo model
Francesco Buccheri, Andrea Nava, Reinhold Egger, Pasquale Sodano,, Domenico Giuliano
TL;DR
This paper investigates how the Wiedemann-Franz law is violated in a topological Kondo model with Majorana modes, revealing a universal Lorenz ratio rescaling due to topological effects.
Contribution
It demonstrates a nontrivial violation of the Wiedemann-Franz law in a topological Kondo system, highlighting the role of Majorana modes in thermal transport.
Findings
Wiedemann-Franz law is violated at low temperatures in the model.
Lorenz ratio is universally rescaled by 2/3 for three wires.
Localized Majorana modes cause the observed behavior.
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.
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