论文标题
具有动态平均场理论的Weyl-Hubbard模型中的拓扑莫特过渡
Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
论文作者
论文摘要
Weyl半学是三维，拓扑保护的无间隙相，它们显示出奇异的现象，例如费米电弧表面状态或负磁磁性。这是一个开放的问题，颗粒间相互作用是否可以将拓扑半学变成拓扑非平凡的莫特绝缘阶段。我们研究了光学晶格中冷原子Weyl物理学的实验动机模型，主要重点是通过动态平均场理论（DMFT）对相互作用效应和拓扑特性。我们通过数值通过Ishsikawa-Matsuyama公式来评估Chern数字来表征拓扑阶段。在我们的研究中，我们发现当相互作用导致绝缘行为时，Chern数量变得微不足道。为了更深入地了解Weyl-Amimetal-Mott-Mott-Mott-Mott-Mott-Mott-Mott-Munterator拓扑相变，我们评估了准粒子带和所谓的盲带的拓扑特性。我们的研究与最近对DMFT的Weyl半学研究有关。
Weyl semimetals are three-dimensional, topologically protected, gapless phases which show exotic phenomena such as Fermi arc surface states or negative magnetoresistance. It is an open question whether interparticle interactions can turn the topological semimetal into a topologically nontrivial Mott insulating phase. We investigate an experimentally motivated model for Weyl physics of cold atoms in optical lattices, with the main focus on interaction effects and topological properties by means of dynamical mean-field theory (DMFT). We characterize topological phases by numerically evaluating the Chern number via the Ishsikawa-Matsuyama formula for interacting phases. Within our studies, we find that the Chern numbers become trivial when interactions lead to insulating behavior. For a deeper understanding of the Weyl-semimetal-to-Mott-insulator topological phase transition, we evaluate the topological properties of quasiparticle bands as well as so-called blind bands. Our study is complementary to recent studies of Weyl semimetals with DMFT.
