Electrical probes of non-Abelian spin liquids

Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin liquid phase in the Kitaev material α-RuCl3. In this talk, I will explain how we leverage fermion condensation to propose a series of measurements for electrically detecting the hallmark chiral Majorana edge states and bulk anyons in the spin-liquid phase -- despite the fact that α-RuCl3 is a good Mott insulator. In particular, I introduce circuits that exploit interfaces between electronic systems and α-RuCl3 to convert physical fermions into emergent fermions, thus enabling analogs of transport and probes of non-Abelian-anyon physics in topological superconductors. I will also explain how we developed an anyon-interferometry framework that incorporates nontrivial energy-partitioning effects. These results illuminate a partial pathway toward using Kitaev materials for topological quantum computation.