标题： 在分数拓扑绝缘体与竞争相之间的调制 at $ν_\mathrm{T}=2/3$ 显示英文标题

标题： Tuning between a fractional topological insulator and competing phases at $ν_\mathrm{T}=2/3$

摘要： 我们研究了一个自旋依赖的、时间反演对称的最低朗道能级模型，用于总填充分数为$\nu_\mathrm{T}=2/3$的平坦带量子自旋霍尔系统。这样的模型，例如，对于自旋-谷锁定的莫尔过渡金属二卤化物具有相关性。两种自旋的相反陈数阻碍了量子霍尔铁磁体的形成，而是倾向于其他相。我们研究了相图随不同短程Haldane赝势$V_m$的变化，并发现了几个相：一个分数量子拓扑绝缘体、一个相分离态、一个自旋极化的分数量子霍尔态，以及部分粒子-空穴变换的Halperin (111)态。赝势$V_m$的影响取决于$m$的奇偶性，即相对角动量。 显示英文摘要

摘要： We study a spinful, time-reversal symmetric lowest Landau level model for a flatband quantum spin Hall system at total filling fraction $\nu_\mathrm{T}=2/3$. Such models are relevant, e.g. for spin-valley locked moir\'e transition metal dichalcogenides. The opposite Chern number of the two spins hinders the formation of a quantum Hall ferromagnet, instead favouring other phases. We study the phase diagram in dependence on different short-range Haldane pseudopotentials $V_m$ and uncover several phases: A fractional topological insulator, a phase separated state, a spin-polarized fractional quantum Hall state, and the partially particle-hole transformed Halperin (111) state. The effect of the pseudopotentials $V_m$ depends on the parity of $m$, the relative angular momentum.