Thermal anyon interferometry in phonon-coupled Kitaev spin liquids

Abstract

Recent theoretical studies inspired by experiments on the Kitaev magnet $\alpha$-RuCl${}_3$ highlight the nontrivial impact of phonons on the thermal Hall conductivity of chiral topological phases. Here we introduce mixed mesoscopic-macroscopic devices that allow refined thermal-transport probes of non-Abelian spin liquids with Ising topological order. These devices feature a quantum-coherent mesoscopic region with negligible phonon conductance, flanked by macroscopic lobes that facilitate efficient thermalization between chiral Majorana edge modes and bulk phonons. We show that our devices enable $(i)$ accurate determination of the quantized thermal Hall conductivity, $(ii)$ identification of non-Abelian Ising anyons via the temperature dependence of the thermal conductance, and most interestingly $(iii)$ single-anyon detection through heat-based anyon interferometry. Analogous results apply broadly to phonon-coupled chiral topological orders.

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Cited by in corpus (12)

• Robustness of quantum Hall interferometry
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Thermal interferometry of anyons
• Finite width of anyons changes their braiding signature
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Probing fractional statistics in quantum simulators of spin liquid Hamiltonians
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Anyonic analogue of optical Mach-Zehnder interferometer
• Tunable anyonic permeability across ${\mathbb{Z}}_2$ spin liquid junctions