Role of Majorana fermions in spin transport of anisotropic Kitaev model,Physical Review B

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Role of Majorana fermions in spin transport of anisotropic Kitaev model
Physical Review B ( IF 3.2 ) Pub Date : 2021-09-27 , DOI: 10.1103/physrevb.104.125139
Hirokazu Taguchi ₁ , Yuta Murakami ₁ , Akihisa Koga ₁ , Joji Nasu _{2,

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Affiliation

We study a quantum spin Kitaev model with zigzag edges to clarify the effects of anisotropy in the exchange couplings on 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 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 addressed.

中文翻译：

马约拉纳费米子在各向异性 Kitaev 模型自旋输运中的作用

我们研究了具有锯齿形边缘的量子自旋 Kitaev 模型，以阐明交换耦合中的各向异性对自旋传播的影响。我们使用与实空间时间相关的马约拉纳平均场理论来模拟由磁脉冲触发的自旋和马约拉纳动力学。当各向异性较小时，流动马约拉纳费米子的色散保持无间隙，其中自旋传播的速度与流动马约拉纳费米子在节点处的群速度相匹配。另一方面，在各向异性大的带隙系统中，自旋传播受到强烈抑制，尽管其性质取决于脉冲的形状。还讨论了具有不同各向异性的 Kitaev 模型描述的结系统中的自旋输运。

更新日期：2021-09-28

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