Thermal interferometry of anyons in spin liquids

Abstract

Aharonov-Bohm interferometry is the most direct probe of anyonic statistics in the quantum Hall effect. The technique involves oscillations of the electric current as a function of the magnetic field and is not applicable to Kitaev spin liquids and other systems without charged quasiparticles. Here, we establish a novel protocol, involving heat transport, for revealing fractional statistics even in the absence of charged excitations, as is the case in quantum spin liquids. Specifically, we demonstrate that heat transport in Kitaev spin liquids through two distinct interferometer geometries, Fabry-Perot and Mach-Zehnder, exhibits drastically different behaviors. Therefore, we propose the use of heat transport interferometry as a probe of anyonic statistics in charge insulators.

arXiv commentAppendix added

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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
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Scattering phenomena for spin transport in Kitaev spin liquid
• Thermal interferometry of anyons
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Probing anyonic statistics via Mach-Zehnder interferometry in quantum computers
• 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