Real-space chirality from crystalline topological defects in the Kitaev spin liquid

Abstract

We show that certain crystalline topological defects in the gapless Kitaev honeycomb spin liquid model generate a chirality and Majorana fermion orbital magnetization that depends in a universal manner on their emergent flux. Focusing on 5-7 dislocations as building blocks, consisting of pentagon and heptagon disclinations, we identify the Kitaev bond label configurations that preserve solvability. By computing two formulations of local markers $M(r)$ we find that the 5 and 7 lattice defects generate a real-space contribution to Chern number and an associated Majorana fermion orbital magnetization proportional to $M(r)$. The sign of the $M(r)$ contribution from each 5/7 defect, i.e. its $q_M=\pm 1$ chirality, is determined by the defect Frank angle sign $F$ and emergent gauge field flux $W=\pm i$ through the expression $q_M=-iFW$. Remarkably, though lattice curvature and torsion can interplay with the surrounding gapless background to modify the profile of $M(r)$, its sign $q_M$ is determined locally, implying that crystalline defects in the Kitaev spin liquid can generate a robust and observable chirality.

9 pages, 4 figures. v2: published version

References in corpus (18)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Models and Materials for Generalized Kitaev Magnetism
• Orbital magnetization in periodic insulators
• An exact chiral spin liquid with non-Abelian anyons
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Genons, twist defects, and projective non-Abelian braiding statistics
• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
• Unpaired Majorana modes on dislocations and string defects in Kitaev's honeycomb model
• Sensing Spin Wave Excitations by Spin Defects in Few-Layer Thick Hexagonal Boron Nitride
• Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
• Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6
• Imaging de Haas-van Alphen quantum oscillations and milli-Tesla pseudomagnetic fields
• Quantised Bulk Conductivity as a Local Chern Marker
• An Exact Chiral Amorphous Spin Liquid
• Phonon thermal transport shaped by strong spin-phonon scattering in a Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid