扭曲MoTe₂在分数填充下的量子自旋霍尔晶体
Quantum spin Hall crystals at fractional filling of twisted MoTe$_2$
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中文总结 AI 辅助
该研究预测分类了相互作用驱动的量子自旋霍尔晶体，以5°附近扭曲双层MoTe₂的ν=-8/3处的电荷有序态为代表，确定了其优于竞争态的条件。
中文摘要 AI 辅助
我们预测并分类了相互作用驱动的量子自旋霍尔晶体（QSHCs），这类状态在分数填充下通过拓扑与自发平移对称性破缺的相互作用产生。QSHCs形成近简并流形，其成员可实现受时间反演或谷U(1)_v对称性保护的不同拓扑相，时间反演在流形内非平凡作用。作为这类状态的代表，我们提供了在5°附近扭曲双层MoTe₂的ν=-8/3处存在9重准简并√3×√3电荷有序QSHCs的证据。这里Z₃指标将与晶格平移相关的状态组织为三个具有非平凡Z₂拓扑的时间反演不变态，以及三个时间反演相关的二重态，其单个成员自发破缺时间反演并携带受U(1)_v保护的自旋陈数。最后，我们确定了使QSHCs优于紧密竞争的谷间相干晶体的条件。
英文摘要
We predict and classify interaction-driven quantum spin Hall crystals (QSHCs), a class of states emerging at fractional filling through an interplay of topology and spontaneous translation-symmetry breaking. QSHCs form nearly degenerate manifolds whose members can realize distinct topological phases protected by time-reversal or valley $U(1)_v$ symmetry, with time-reversal acting nontrivially within the manifold. As a representative of this broad class of states we provide evidence for 9-fold quasi-degenerate $\sqrt{3}\times\sqrt{3}$ charge ordered QSHCs at $ν= -8/3$ of twisted bilayer MoTe$_2$ near a $5^\circ$ twist. Here a $\mathbb{Z}_3$ index organizes states related by lattice translation into three time-reversal invariant states with nontrivial $\mathbb{Z}_2$ topology and three time-reversal related doublets whose individual members spontaneously break time-reversal and carry a $U(1)_v$ protected spin-Chern number. Finally, we determine the conditions that favor QSHCs over closely competing intervalley-coherent crystals.
