标题： 近偶数分母填充因子处玻色子和费米子量子霍尔态之间的拓扑相变 显示英文标题

标题： Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

摘要： 我们研究费米子$\nu=8$量子霍尔态与库珀对的玻色子$\nu=2$量子霍尔态之间的量子临界点。我们的研究受到偶数分母分数量子霍尔态的子态的复合费米子构造以及在相同填充下观察到的子态与 Jain 态之间实验过渡的启发。我们表明，这种过渡等价于一个中性可逆$E_8$态与拓扑平凡态之间的过渡。这些过渡可以在部分子框架中描述为四个中性狄拉克费米子与多个阿贝尔 Chern-Simons$U(1)$规范场耦合的质量变化级联。在没有微调的情况下，该过渡被分为一系列四个或更多不同的过渡，其中至少存在三个不同的中间拓扑有序相，这些相包含中性任意子。 显示英文摘要

摘要： We study the quantum critical point between the fermionic $\nu=8$ quantum Hall state and the bosonic $\nu=2$ quantum Hall state of Cooper pairs. Our study is motivated by the composite fermion construction for the daughter states of even-denominator fractional quantum Hall states and the experimentally observed transition between the daughter and the Jain states at the same filling. We show that this transition is equivalent to the transition between a neutral invertible $E_8$ state and a topologically trivial state. These transitions can be described in a partonic framework as a cascade of mass changes of four neutral Dirac fermions coupled to multiple Abelian Chern-Simons $U(1)$ gauge fields. In the absence of fine-tuning, the transition is split into a series of four or more different transitions, with at least three distinct intermediate topologically ordered phases hosting neutral anyons.