Kitaev spin liquids (KSLs) contain both itinerant Majorana fermions and localized ${\mathbb{Z}}_2$ flux excitations. The mobile fermions transport energy, while the fluxes hinder heat flow. By controlling the flux configuration, one can separate a KSL into different domains via ${\mathbb{Z}}_2$ flux walls. We show that at low temperatures, the wall significantly suppresses the Majorana-mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction and blocks the heat transfer between domains.

• Received 20 April 2021
• Revised 10 August 2021
• Accepted 10 August 2021

DOI:https://doi.org/10.1103/PhysRevB.104.064437