论文标题
大型$ S $和张量 - 网络方法，用于强烈相互交互的拓扑绝缘子
Large-$S$ and tensor-network methods for strongly-interacting topological insulators
论文作者
论文摘要
物质拓扑阶段的相关效应的研究可以受益于组合从冷凝物质，高能物理学和量子信息科学的技术结合的多学科方法。在这项工作中，我们利用这些连接来研究拓扑绝缘器的某些晶格哈伯德模型的强烈相互交互的极限，这些模型将其映射到具有Wilson-type离散化的四型Fermi量子场理论上，并且最近已显示出基于合成的SpintheTic Spinthetic Spinthets Spimthetim Simulators的触手可及。我们结合了大型和张量 - 网络技术，以探索当拓扑绝缘子的相互作用足够大时出现的可能自发对称阶段。特别是，我们表明，晶格离散的Wilson参数$ r $变化会导致一种新颖的Heisenberg-ass-compss模型，其临界线路的值为$ r $。
The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy physics and quantum information science. In this work, we exploit these connections to study the strongly-interacting limit of certain lattice Hubbard models of topological insulators, which map onto four-Fermi quantum field theories with a Wilson-type discretization, and have been recently shown to be at reach of cold-atom quantum simulators based on synthetic spin-orbit coupling. We combine large-S and tensor-network techniques to explore the possible spontaneous symmetry-breaking phases that appear when the interactions of the topological insulators are sufficiently large. In particular, we show that varying the Wilson parameter $r$ of the lattice discretizations leads to a novel Heisenberg-Ising compass model with critical lines that flow with the value of $r$.
