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.

arXiv comment36 pages, 13 figures, 1 table, accepted for publication in PRB

References in corpus (35)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• An Electronic Mach-Zehnder Interferometer
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Observation of half-integer thermal Hall conductance
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Quantum limit of heat flow across a single electronic channel
• Observed Quantization of Anyonic Heat Flow
• Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States
• Theory of the Fabry-Perot Quantum Hall Interferometer
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Fractional charge and fractional statistics in the quantum Hall effects
• Quantum symmetries in discrete gauge theories
• Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Telegraph Noise and Fractional Statistics in the Quantum Hall Effect
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Interactions suppress Quasiparticle Tunneling at Hall Bar Constrictions
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Thermoelectric transport in junctions of Majorana and Dirac channels
• Theory of non-Abelian Fabry-Perot interferometry in topological insulators
• Edge Probes of Topological Order
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Thermal interferometry of anyons in spin liquids
• Tunnelling current through fractional quantum Hall interferometers

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