论文标题

随机基塔夫旋转梯子中的自旋和通量间隙重新归一化

Spin- and Flux-gap Renormalization in the Random Kitaev Spin Ladder

论文作者

Kao, Wen-Han, Perkins, Natalia B.

论文摘要

我们通过使用真实空间重归其化组技术研究Kitaev自旋梯子。该模型是具有保守plaquette通量的Kitaev系统中的最小模型,其准二维几何形状使得可以研究自旋和通量激发差距的强端固定点。在ISIND极限中,自旋隙的行为与熟悉的随机横向场链链一致,但是通量间隙由Y耦合主导。在XX极限中,虽然X-和Y耦合同时重新归一化,但Z耦合并未彻底重新归一化,并导致低能尺度下的非宇宙疾病关键性。

We study the Kitaev spin ladder with random couplings by using the real-space renormalization group technique. This model is the minimum model in Kitaev systems that has conserved plaquette fluxes, and its quasi-one-dimensional geometry makes it possible to study the strong-disorder fixed points for both spin- and flux- excitation gaps. In the Ising limit, the behavior of the spin gap is consistent with the familiar random transverse-field Ising chain, but the flux gap is dominated by the y-coupling. In the XX limit, while the x- and y-couplings are renormalized simultaneously, the z-couplings are not renormalized drastically and lead to non-universal disorder criticality at low-energy scales.

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