Theoretical scheme for finite-temperature dynamics of Kitaev's spin liquids
Theoretical scheme for finite-temperature dynamics of Kitaev's spin liquids
复制标题
基塔耶夫自旋液体有限温度动力学的理论方案
DOI：
10.1088/1361-648x/abf6e4
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Masafumi Udagawa
中科院分区：
文献类型：
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作者：
N. Yamaguchi;A. Furuhashi;H. Nishihara;R. Murata;K. Takayama;and T. Katsufuji;Masafumi Udagawa
本文综述了Kitaev自旋液体有限温度动力学的理论公式。我们在Kitaev模型的可积极限下给出了动力学自旋相关函数的精确解析解（2018 Phys. Rev. B 98 220404）。通过将解析解与平衡态经典蒙特-卡罗方法相结合，我们构造了一个公式来精确地计算Kitaev自旋液体的有限温度动力学，并具有合理的计算量。该公式是基于实时表示，这使我们能够直接访问定义在真实的频率的实验观测值，没有解析延续。实时计划是必不可少的准确地捕捉光谱的共振特性，这发生在例如手性自旋液相与孤立的马约拉纳零模式。因此，该方案提供了一个有效的方法来解决Kitaev的自旋液体分数激发的性质。作为应用，我们通过局域共振谱来探测空位周围的零模，并讨论了Kitaev自旋液体的性质如何体现在其动力学特征中。
In this article, we review the theoretical formulation of finite temperature dynamics of Kitaev's spin liquid. We present the exact analytical solution of the dynamical spin correlation function at the integrable limit of Kitaev's model, on the basis of (2018 Phys. Rev. B 98 220404). By combining the analytical solution with the equilibrium classical Monte-Carlo scheme, we construct a formulation to access the finite temperature dynamics of Kitaev's spin liquid exactly, with a reasonable amount of computational cost. This formulation is based on the real-time representation, which enables us to directly access the experimental observables defined in real frequency, without analytical continuation. The real-time scheme is essential to capturing the resonant features of the spectrum accurately, which occurs eg in the chiral spin liquid phase with isolated Majorana zero modes. Accordingly, this scheme provides an effective approach to address the nature of fractional excitations in Kitaev's spin liquid. As an application, we address the detection of zero mode around the site vacancy through the local resonant spectrum and discuss how the character of Kitaev's spin liquid emerges in its dynamical signature.