Das Sudipto, Das Sahana, Mandal Sudhansu S
Department of Physics, Indian Institute of Technology, Kharagpur, West Bengal 721302, India.
Phys Rev Lett. 2024 Mar 8;132(10):106501. doi: 10.1103/PhysRevLett.132.106501.
A proposal of the existence of an Anomalous phase (A phase) [Das et al., Phys. Rev. Lett. 131, 056202 (2023)PRLTAO0031-900710.1103/PhysRevLett.131.056202] at the experimental range of moderate Landau-level-mixing strength has recently been made for the 5/2 state. We here report that the gapped A phase is generic to the sequence of spin-polarized fractional quantum Hall states with filling fractions ν=n/(nm-1) and ν=1-n/(nm-1), (n≥1,m≥3), that exhausts almost all the observed states and also predicts some states in the second Landau level for GaAs systems. Our proposed trial wave functions for all these states have remarkably high overlaps with the corresponding exact ground states and can support non-Abelian quasiparticle excitations with charge e/[2(nm-1)]. By analyzing edge modes, we predict experimentally verifiable thermal Hall conductance 2.5(π^{2}k_{B}^{2}T/3h) for all the states in these sequences.
最近有人针对5/2态提出，在中等朗道能级混合强度的实验范围内存在一个反常相（A相）[Das等人，《物理评论快报》131, 056202 (2023)PRLTAO0031 - 900710.1103/PhysRevLett.131.056202]。我们在此报告，带隙的A相对填充因子为ν = n/(nm - 1)和ν = 1 - n/(nm - 1)（n≥1，m≥3）的自旋极化分数量子霍尔态序列来说是普遍存在的，该序列几乎涵盖了所有观测到的态，并且还预测了砷化镓系统第二朗道能级中的一些态。我们为所有这些态提出的试探波函数与相应的精确基态有非常高的重叠度，并且能够支持电荷为e/[2(nm - 1)]的非阿贝尔准粒子激发。通过分析边缘模式，我们预测这些序列中所有态的热霍尔电导在实验上是可验证的，为2.5(π²k₈²T/3h) 。
