论文标题
跨量子厅状态的绝热连续性
Adiabatic Continuity of the Spinful Quantum Hall States
论文作者
论文摘要
通过使用Anyons的扩展Hubbard模型，我们通过统计通量的变异来证明跨量子霍尔（QH）状态的绝热变形。尽管基态总是在一系列$ν= 1 $整数QH系统中自旋偏振，但SINGLET QH状态在$ν= 2 $和$ν= 2/5 $之间的绝热连续性得到了确认。这些结果与自旋的复合费米理论一致。基态多重体的多体Chern数量是绝热的不变性，还解释了进化过程中拓扑变性的野生变化。跨系统的广义弹性公式是合理的。
By using the extended Hubbard model of anyons, we numerically demonstrate the adiabatic deformation of the spinful quantum Hall (QH) states by transmutation of statistical fluxes. While the ground state is always spin-polarized in a series of $ν=1$ integer QH system, the adiabatic continuity between the singlet QH states at $ν=2$ and $ν=2/5$ is confirmed. These results are consistent with the composite fermion theory with spin. The many-body Chern number of the ground state multiplet works as an adiabatic invariant and also explains the wild change of the topological degeneracy during the evolution. The generalized Streda formula of spinful systems is justified.
