Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations

Abstract

We demonstrate topological characterization of $S=\frac{1}{2}$ Kitaev quantum spin liquids on a series of one-dimensional honeycomb nanoribbon lattices with zigzag and armchair terminated edges. We draw their Majorana spinon phase diagrams with varying nearest-neighbor exchange couplings not only at the sector of the ground flux configuration but also at some sectors of excited flux configurations. In the ground states of the zigzag and armchair nanoribbons, there occur a single and multiple phase transitions, respectively, the former and latter of which are insensitive and subject to the background flux configuration, respectively. Topological phases each have a winding number as their invariant. On each phase boundary, the Majorana spinon dispersion relation reflects both of the change in the winding number and the background flux configuration.

arXiv comment6 pages, 3 figures

References in corpus (26)

• Anyons in an exactly solved model and beyond
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Quantum Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Peculiar Width Dependence of the Electronic Property of Carbon Nanoribbons
• A Field Guide to Spin Liquids
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Hunting Majorana Fermions in Kitaev Magnets
• Topology and edge modes in quantum critical chains
• Algebraic spin liquid in an exactly solvable spin model
• Magnetic properties of restacked 2D spin $\frac{1}{2}$ honeycomb RuCl${}_3$ nanosheets
• Site dilution in Kitaev's honeycomb model
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Physical solutions of the Kitaev honeycomb model
• Majorana edge modes in the Kitaev model
• Mott Variable Range Hopping and Weak Antilocalization Effect in Heteroepitaxial Na2IrO3 Thin Films
• Angular momentum and topology in semiconducting single-wall carbon nanotubes
• Majorana correlations in the Kitaev model with ordered-flux structures
• Electronic excitations and structure of Li2IrO3 thin films grown on ZrO${}_2$:Y (001) substrates
• Majorana edge magnetization in the Kitaev honeycomb model
• Topological junction states and their crystalline network in chiral-symmetric systems: application to graphene nanoribbons
• Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls