Majorana-fermion origin of the planar thermal Hall effect in the Kitaev magnet $\hat{I}\pm$-RuCl${}_3$

Abstract

The field-induced quantum disordered state of layered honeycomb magnet $\hat{I}\pm$-RuCl${}_3$ is a prime candidate for Kitaev spin liquids hosting Majorana fermions and non-Abelian anyons. Recent observations of anomalous planar thermal Hall effect demonstrate a topological edge mode, but whether it originates from Majorana fermions or bosonic magnons remains controversial. Here we distinguish these origins from low-temperature measurements of high-resolution specific heat and thermal Hall conductivity with rotating in-plane fields. In the honeycomb bond direction, a distinct closure of the low-energy bulk gap is observed concomitantly with the sign reversal of the Hall effect. General discussions of topological bands show that this is the hallmark of an angle-rotation-induced topological transition of fermions, providing conclusive evidence for the Majorana-fermion origin of the thermal Hall effect in $\hat{I}\pm$-RuCl${}_3$.

21 pages, 7 figures