Thermal interferometry of anyons

Abstract

Anyonic interferometry probes the braiding phases of excitations in topologically ordered matter. This technique is well established for charged quasiparticles in the fractional quantum Hall effect. We propose to extend it to neutral anyons, such as Ising anyons in Kitaev magnets and quasiparticles in other neutral spin liquids. We find that the thermal current through an interferometer is sensitive to the statistics of tunneling quasiparticles. We present a systematic investigation of signatures of various Abelian and non-Abelian topological orders in Fabry-Pérot and Mach-Zehnder interferometers. The heat current through a Fabry-Pérot device is different for different topological orders and depends on the topological charge inside the interferometer. A Mach-Zehnder device shows interference in topologically trivial systems only. For a non-trivial statistics, the heat current reduces to the sum of the contributions from two constrictions in the interferometer. Furthermore, we identify another probe of topological order that involves the scaling of the thermal current through a single tunneling contact at low temperatures. The current shows a universal temperature dependence, sensitive to the topological order in the system.

36 pages, 13 figures, 1 table, accepted for publication in PRB

References in corpus (13)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional statistics in anyon collisions
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Quantum limit of heat flow across a single electronic channel
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Fractional charge and fractional statistics in the quantum Hall effects
• Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Thermal interferometry of anyons in spin liquids

Cited by in corpus (7)

• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
• Probing anyonic statistics via Mach-Zehnder interferometry in quantum computers
• Anyonic analogue of optical Mach-Zehnder interferometer
• Tunable anyonic permeability across ${\mathbb{Z}}_2$ spin liquid junctions