Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid

Abstract

We investigate the edge magnetism and the spin transport properties of an SU(2)-symmetric Kitaev spin liquid (KSL) model put forward by Yao and Lee [Phys. Rev. Lett. \textbf{107}, 087205 (2011)] on the honeycomb lattice. In this model, the spin degrees of freedom fractionalize into a ${\mathbb{Z}}_2$ static gauge field and three species of either gapless (Dirac) or gapped (chiral) Majorana fermionic excitations. We find that, when a magnetic field is applied to a zigzag edge, the Dirac KSL exhibits a nonlocal magnetization associated with the existence of zero-energy edge modes. The application of a spin bias $V={\mu }_{\uparrow }-{\mu }_{\downarrow }$ at the interface of the spin system with a normal metal produces a spin current into the KSL, which depends, in the zero-temperature limit, as a power-law on $V$ for both Dirac and chiral KSLs, but with different exponents. Lastly, we study the longitudinal spin Seebeck effect, in which a spin current is driven by the combined action of a magnetic field perpendicular to the plane of the honeycomb lattice and a thermal gradient at the interface of the KSL with a metal. Our results suggest that edge magnetization and spin transport can be used to probe the existence of charge-neutral edge states in quantum spin liquids.

arXiv comment13 pages, 7 figures

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• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Kitaev spin-orbital bilayers and their moiré superlattices
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Majorana edge magnetization in the Kitaev honeycomb model
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Bilinear Majorana representations for spin operators with spin magnitudes $S>1/2$
• Scattering phenomena for spin transport in Kitaev spin liquid
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Spin Transport in Quantum Spin-Orbital Liquids
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Magnetic order through Kondo coupling to quantum spin liquids
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Topological Aspects of Antiferromagnets