论文标题
5/2量子厅状态的相变和拓扑特性，具有强烈的降级级混合
Phase transitions and topological properties of the 5/2 quantum Hall states with strong Landau-level mixing
论文作者
论文摘要
我们使用精确的对角线化研究了具有均匀数量的5/2分数量子霍尔系统的数值，其中强烈的Landau水平（LL）混合和量子井的有限宽度都已被考虑并改编成筛选的库仑相互作用。通过主成分分析，我们能够通过磁场制成的参数空间和量子井宽度识别基态波函数的前两个领先组件之间的量子宽度，这与奇数 - 电子系统中低较低的光谱和以前的作品一致。此外，亚辅助第三个成分的存在表明，随着LL混合强度将与ZnO实验相关的特定参数区域的发展，发生不可压缩的过渡。我们进一步研究了这个新兴区域中强烈的LL混合相，其粘度，波函数重叠和纠缠光谱。结果表明，它可以很好地描述为具有Pfaffian和抗Pfaffian状态的双重拓扑特性的粒子孔对称PFAFFIAN状态。
We numerically study a 5/2 fractional quantum Hall system with even number of electrons using the exact diagonalization where both the strong Landau level (LL) mixing and a finite width of the quantum well have been considered and adapted into a screened Coulomb interaction. With the principal component analysis, we are able to recognize a compressible-incompressible phase transition in the parameter space made of the magnetic field and the quantum well width by the competition between the first two leading components of the ground states wave functions, which is consistent with the low-lying spectral feature and previous works in the odd-electron system. In addition, the presence of the subdominant third component suggests an incompressible transition occurring as the LL-mixing strength grows into a certain parameter region associated with the ZnO experiments. We further investigate the strongly LL-mixed phase in this emerging region with the Hall viscosity, wave function overlaps, and the entanglement spectra. Results show it can be well described as a particle-hole symmetrized Pfaffian state with the dual topological properties of the Pfaffian and the anti-Pfaffian states.
