# Extracting entropy of exotic quasiparticles from conductance measurements

Cheolhee Han, Andrew K. Mitchell, Zubair Iftikhar, Yaakov Kleeorin, Anne Anthore, Frédéric Pierre, Yigal Meir, Eran Sela

Research output: Working paper/PreprintPreprint

## Abstract

Fractional entropy is a signature of nonlocal degrees of freedom, such as Majorana zero modes or more exotic non-Abelian anyons. However, in the mesoscopic quantum systems hosting these states direct entropy measurements remain highly challenging. Here we introduce a self-consistent framework to extract entropy from existing experimental conductance measurements. Applying this approach to conductance measurement through a metallic quantum dot displaying `charge' Kondo effects, we extract the fractional entropy in the two- and three-channel Kondo effects, corresponding to Majorana and Fibonacci zero modes, respectively. In these cases, the entropy extracted from the experimental data falls on a theoretical curve displaying scaling towards $k_{\rm{B}}\log \sqrt{2}$ or $k_{\rm{B}}\log \frac{1+\sqrt{5}}{2}$ entropy, respectively. Our protocol provides a general route towards a direct extraction of entropy from charge measurements in mesoscopic quantum systems.
Original language English GB Published - 29 Aug 2021

## Keywords

• cond-mat.mes-hall
• cond-mat.str-el

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