论文标题
Kitaev Model-I的简介
An introduction to Kitaev model-I
论文作者
论文摘要
这篇教学文章的目的是针对对沮丧的磁性领域感兴趣的初学者。我们介绍并介绍了Kitaev模型中获得的一些确切结果。 Kitaev模型在二维中体现了一种不寻常的两种自旋相互作用，但可以完全可以解决。这种精确的可溶性使它实现了许多新兴的身体现象，例如$ z_2 $量规场，旋转液态状态，旋转分数化，拓扑顺序。首先，我们使用Majorana fermionisation提出了Kitaev模型的精确解决方案，并详细介绍了$ Z_2 $量规结构。在此之后，我们讨论磁化，自旋旋转相关函数的确切计算，以建立其自旋液体特征。详细解释了Majorana fermion的旋转分数和脱位。讨论了远程多旋转相关函数和拓扑变性的存在，以阐明任何特征态的纠缠和拓扑性质。在适当的位置提供了一些基本问卷，以吸收技术细节。
This pedagogical article is aimed to the beginning graduate students interested in broad field of frustrated magnetism. We introduce and present some of the exact results obtained in Kitaev model. The Kitaev model embodies an unusual two spin interactions yet exactly solvable model in two dimension. This exact solvability renders it to realize many emergent many body phenomena such as $Z_2$ gauge field, spin liquid states, spin fractionalization, topological order exactly. First we present the exact solution of Kitaev model using Majorana fermionisation and elaborate in detail the $Z_2$ gauge structure. Following this we discuss exact calculation of magnetization, spin-spin correlation function establishing its spin-liquid character. Spin fractionalization and de-confinement of Majorana fermion is explained in detail. Existence of long range multi-spin correlation function and topological degeneracy are discussed to elucidate the entangled and topological nature of any eigenstate. Some elementary questionnaires are provided in appropriate places for assimilation of the technical details.
