Electrical probes of the non-Abelian spin liquid in Kitaev materials

Abstract

Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin liquid phase in the Kitaev material $\alpha$-${\mathrm{RuCl}}_3$. Although the platform is a good Mott insulator, we propose experiments that electrically probe the spin liquid's hallmark chiral Majorana edge state and bulk anyons, including their exotic exchange statistics. We specifically introduce circuits that exploit interfaces between electrically active systems and Kitaev materials to `perfectly' convert electrons from the former into emergent fermions in the latter---thereby enabling variations of transport probes invented for topological superconductors and fractional quantum Hall states. Along the way we resolve puzzles in the literature concerning interacting Majorana fermions, and also develop an anyon-interferometry framework that incorporates nontrivial energy-partitioning effects. Our results illuminate a partial pathway towards topological quantum computation with Kitaev materials.

arXiv comment35 pages, 17 figures

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• Free fermions in disguise
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Cited by in corpus (38)

• Hunting for Majoranas
• Tunneling spectroscopy of quantum spin liquids
• Bulk Anyons as Edge Symmetries: Boundary Phase Diagrams of Topologically Ordered States
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Microscopic characterization of Ising conformal field theory in Rydberg chains
• Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Extraction of the interaction parameters for $\alpha -$RuCl${}_3$ from neutron data using machine learning
• 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
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Emergent orbital magnetization in Kitaev quantum magnets
• Edge zeros and boundary spinons in topological Mott insulators
• Thermal interferometry of anyons in spin liquids
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Tunneling spectroscopic signatures of charge doping and associated Mott transition in $\alpha$-RuCl${}_3$ in proximity to graphite
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Monopole Josephson Effects in a Dirac Spin Liquid
• Thermal interferometry of anyons
• Measuring Topological Order
• Spin Transport in Quantum Spin-Orbital Liquids
• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface
• Controlling magnetic frustration in 1T-TaS${}_2$ via Coulomb engineered long-range interactions
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Drag resistance mediated by quantum spin liquids
• Double exchange, itinerant ferromagnetism and topological Hall effect in moiré heterobilayer
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Resonant Inelastic X-ray Scattering from Electronic Excitations in $\alpha$-RuCl${}_3$ Nanolayers
• Marginally localized edges of time-reversal symmetric topological superconductors
• Stability against contact interactions of a topological superconductor in two-dimensional space protected by time-reversal and reflection symmetries
• The Future of the Correlated Electron Problem
• Quantum computation at the edge of a disordered Kitaev honeycomb lattice
• Electric polarization near vortices in the extended Kitaev model
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond