Notes on the Kitaev \leftrightarrow Tight-binding correspondence

$Z_2$通量与Kitaev自旋液体中高自旋杂质的结合

$Z_2$ flux binding to higher-spin impurities in the Kitaev spin liquid

本研究探讨了Kitaev自旋液体中高自旋磁性杂质对$Z_2$通量的影响，发现杂质自旋和耦合强度会引发通量扇区转变，并提出了一种结合通量的新方法。

磁场中Kitaev模型空位束缚非阿贝尔任意子的鲁棒性

Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field

本文通过大规模DMRG模拟，研究有限磁场下Kitaev模型中空位束缚非阿贝尔任意子的鲁棒性，发现铁磁模型在整个QSL相内保持束缚，而反铁磁模型在相内即失效，并提出精确定义与外推方案以计算低能标束缚能。

具有平带Majorana能带的Kitaev蜂窝超晶格的分数Wannier轨道与紧束缚规范场

Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands

本文提出一种通过虚跃迁消除高能态来推导分数轨道紧束缚规范场的系统框架，在Kitaev蜂窝模型中构建Majorana轨道与Z2规范场，揭示无能隙平带拓扑相变，并发展规范不变平均场理论得到关联诱导的分数Chern态。

Na2IrO3分子的紧束缚参数和磁相互作用的从头计算

Ab initio analysis of the tight-binding parameters and magnetic interactions in Na2IrO3

通过密度泛函理论（DFT）计算（包括和不包括自旋轨道（SO）耦合），我们提出了详细的研究电子结构和相应的微观哈密顿参数的Na 2 IrO 3.特别是，我们解决了以下几个方面：（一）我们调查的各种结构扭曲的作用，并表明，电子结构的Na 2 IrO 3是非常敏感的结构细节。(ii)我们讨论了两个限制说明Na 2 IrO 3;准分子轨道（小SO限制，巡回）与相对论轨道（大SO限制，本地化），并表明，说明Na 2 IrO 3位于中间政权。(iii)我们研究最近邻Kitaev-Heisenberg模型是否足以描述Na 2 IrO 3的电子结构和磁性。特别是，我们验证了最近的建议，反铁磁Kitaev相互作用，并表明它是不符合实际的，甚至似是而非的电子参数。最后，（iv）我们讨论了Na 2 IrO 3的相关效应。我们的结论是，虽然Kitaev-Heisenberg哈密顿量是二次自旋-自旋相互作用在自旋-轨道耦合（忽略单点各向异性）的存在下的最一般的表达式，在Na 2 IrO 3中的电子的巡回字符使其他条款超出这个模型（包括，但不限于第二和第三邻居相互作用）必不可少的。

Non-Kitaev vs. Kitaev Honeycomb Cobaltates

Recently, honeycomb cobaltates with 3$d^7$ were proposed to display Kitaev physics despite weak spin-orbit coupling. However, other theoretical and experimental works found leading XXZ Heisenberg and negligible Kitaev interactions in BaCo$_2$(AsO$_4$)$_2$ (BCAO), which calls for a further study to clarify the origin of the discrepancies. Here we derive the analytical expressions of the spin model using strong-coupling perturbation theory. With tight binding parameters obtained by {\it ab-initio} calculations for idealized honeycomb BCAO, we find that the largest intraorbital $t_{2g}-t_{2g}$ ex…

Doping a topological quantum spin liquid: slow holes in the Kitaev honeycomb model

We present a controlled microscopic study of mobile holes in the spatially anisotropic (Abelian) gapped phase of the Kitaev honeycomb model. We address the properties of (i) a single hole [its internal degrees of freedom as well as its hopping properties]; (ii) a pair of holes [their (relative) particle statistics and interactions]; (iii) the collective state for a finite density of holes. We find that each hole in the doped model has an eight-dimensional internal space, characterized by three internal quantum numbers: the first two "fractional" quantum numbers describe the binding to the hole…