论文标题
非常规填充因子4/11：封闭形式的基态波函数
Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
论文作者
论文摘要
4/11填充因子处的基态非常了解[物理。莱特牧师。 112，016801（2014）]就1/3填充的复合费米子的第二有效Landau水平而言，其相关性与两体haldane pseudo pseudo pseudo positient的相对角动量3，$ v_3 $的基础状态的相关性相似。我们在这里建议以1/3填充因子为$ v_3 $的封闭形式的基态波函数。我们通过计算其相互重叠，成对相关函数和纠缠光谱来成功将其与具有几个电子系统的系统的精确波函数进行比较。通过一些电子系统的数值精确对角线化，我们发现一个非零$ v_3 $的窗口与4/11状态不可压缩的$ v_1 $一起是必不可少的。使用此提出的波函数为4/11状态的构造波函数与先前研究的复合 - 特里米 - 二角化基态波函数具有令人满意的高度重叠。
The ground state at 4/11 filling factor is very well understood [Phys. Rev. Lett. 112, 016801 (2014)] in terms of the 1/3 filled second effective Landau level of the composite fermions whose correlations resemble with that of electrons in the ground state of two-body Haldane pseudo-potential of relative angular momentum 3, $V_3$. We here propose a closed-form ground state wave function for $V_3$ at 1/3 filling factor. We successfully compare it with the exact wave function for the systems with a few electrons, by calculating their mutual overlap, pair-correlation function, and entanglement spectra. By numerical exact diagonalization for a few electron systems, we find a window of nonzero $V_3$ is essential together with $V_1$ for being 4/11 state incompressible. The constructed wave function for 4/11 state using this proposed wave function has satisfactorily high overlap with the previously studied composite-fermion-diagonalized ground state wave function.
