自旋量子Hall态的绝热连续性
Adiabatic Continuity of the Spinful Quantum Hall States
摘要：
利用任意子的推广哈伯德模型，数值研究了自旋量子霍尔（QH）态的统计流嬗变的绝热形变。在一系列$ν=1$整数QH系统中，当基态总是自旋极化时，证实了$ν=2$和$ν=2/5$单重态QH之间的绝热连续性.这些结果与含自旋的复合费米子理论是一致的。基态多重态的多体Chern数作为绝热不变量，也解释了拓扑简并度在演化过程中的剧烈变化。证明了自旋系统的广义Streda公式。
英文摘要：
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.
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