发表机构
University of California, Los Angeles; Mani L. Bhaumik Institute for Theoretical Physics, University of California Los Angeles（加州大学洛杉矶分校; 加州大学洛杉矶分校马尼·L·鲍姆克理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出混合单重态-三重态d密度波可破缺平移对称性产生陈氏带，在分数填充下经排斥相互作用形成分数量子自旋霍尔液体，并揭示其边界相与复合费米液体特征。
AI 中文摘要
对称性破缺和拓扑性是描述物质组织方式的两种不同概念。在此，我们提出其中一种可以衍生出另一种。一种混合的单重态-三重态$d$密度波（一种粒子-空穴凝聚体）具有隐藏的键序，它破缺了平移对称性并产生一对时间反演对称的陈氏带，而不会产生传统的电荷或自旋密度序。在奇分母的分数填充下，有限尺寸精确对角化研究表明，排斥相互作用如何能将这种对称性破缺的拓扑态转变为分数量子自旋霍尔液体。其相反的手性产生一种交叉响应，其中电荷通量输运自旋，而自旋通量输运电荷。相同的设置还揭示了该相的边界。强自旋间耦合和日益稀释的填充有利于电荷序，并使残余能带色散起决定性作用；而在半填充时，自旋解耦极限给出一个均匀的关联液体，其特征与复合费米液体的物理性质一致。
英文摘要
Broken symmetry and topology are distinct descriptions for how matter organizes itself. Here, we propose one gives rise to the other. A mixed singlet-triplet $d$-density wave, which is a particle-hole condensate, has a hidden bond order that breaks translation symmetry and generates a time-reversed pair of Chern bands, without producing conventional charge or spin density order. At fractional fillings with odd denominators, finite size exact diagonalization studies show how repulsive interactions can transform this symmetry-broken topological state into a fractional quantum spin Hall liquid. Its opposite chiralities produce a crossed response in which charge flux transports spin, and spin flux transports charge. The same setting also reveals what borders such a phase. Strong interspin coupling and increasingly dilute fillings favor charge order and make residual band dispersion decisive, while at half filling, the spin-decoupled limit gives a homogeneous correlated liquid with signatures consistent with the physics of a composite Fermi liquid.
Comments18 pages, 13 figures
