在$ν= 7/3$的非常规$\mathbb{Z}_{n}$部分子态：有限宽度的作用
Unconventional $\mathbb{Z}_{n}$ parton states at $ν= 7/3$: The role of finite width
摘要：
最近的一项工作[Balram，Jain和Barkeshli，Phys. Rev. Res. ${\bf 2}$，013349（2020）]表明，描述复合玻色子的$\mathbb{Z}_{n}$超导性的非常规状态（支持电子电荷的电荷$1/(3n)$激发）在能量上优于GaAs系统中$ν=7/3$处的Laughlin波函数。然而，迄今为止的所有实验都与后者相一致。为了解决这种差异，我们研究了有限宽度对基态的影响，并预测从非常规的$\mathbb{Z}_{n}$状态在小宽度的Laughlin状态的宽度超过$\sim$ 1.5磁长度的相变。我们还确定了双层石墨烯中非常规态稳定在三分之一填充零朗道能级的参数区域。朗道能级混合和自旋的作用也被考虑。
英文摘要：
A recent work [Balram, Jain, and Barkeshli, Phys. Rev. Res. ${\bf 2}$, 013349 (2020)] has suggested that an unconventional state describing $\mathbb{Z}_{n}$ superconductivity of composite bosons, which supports excitations with charge $1/(3n)$ of the electron charge, is energetically better than the Laughlin wave function at $ν=7/3$ in GaAs systems. All experiments to date, however, are consistent with the latter. To address this discrepancy, we study the effect of finite width on the ground state and predict a phase transition from an unconventional $\mathbb{Z}_{n}$ state at small widths to the Laughlin state for widths exceeding $\sim$ 1.5 magnetic lengths. We also determine the parameter region where an unconventional state is stabilized in the one third filled zeroth Landau level in bilayer graphene. The roles of Landau level mixing and spin are also considered.
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