Role of Majorana fermions in spin transport of anisotropic Kitaev model

Abstract

We study a quantum spin Kitaev model with zigzag edges to clarify the effects of anisotropy in the exchange couplings on the spin propagation. We simulate the spin and Majorana dynamics triggered by a magnetic pulse, using the real-space time-dependent Majorana mean-field theory. When the anisotropy is small, the dispersion of the itinerant Majorana fermions remains gapless, where the velocity of the spin propagation matches the group velocity of the itinerant Majorana fermions at the nodal points. On the other hand, in the gapped system with a large anisotropy, the spin propagation is strongly suppressed although its nature depends on the shape of the pulse. The spin transport in the junction system described by the Kitaev models with distinct anisotropies is also dressed.

9 pages, 7 figures

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Cited by in corpus (7)

• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Scattering phenomena for spin transport in Kitaev spin liquid
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Nonreciprocal heat transport in the Kitaev chiral spin liquid
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• Field-direction Dependence of Majorana-mediated Spin Transport