Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
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DOI：
10.1103/physrevb.98.081107
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发表时间：
2018-04
影响因子：
3.7
通讯作者：
R. Mishmash;David F. Mross;J. Alicea;O. Motrunich
中科院分区：
文献类型：
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作者：
R. Mishmash;David F. Mross;J. Alicea;O. Motrunich
我们对最近提出的粒子空穴对称普法夫（“PH-Pfaffian”）拓扑序的模型波函数进行了数值评估，该相与最近报道的热霍尔电导一致[M. Banerjee 等人，Nature 559, 205 (2018)] 在永远神秘的 ν = 5/2 量子霍尔平台。我们发现，当投影到最低的朗道能级时，PH-普法夫最自然的受摩尔里德启发的试验状态在可访问系统尺寸上与相应的（可压缩的）复合费米液体表现出显着的数值相似性。因此，这种 PH-Pfaffian 试验状态在半填充最低朗道能级中表现得相当好，但可能不是理解 ν = 5/2 基态的良好起点。我们的结果表明，PH-Pfaffian 模型波函数要么编码复合费米子的异常弱 p 波配对，要么无法完全表示有间隙的不可压缩相位。
We numerically assess model wave functions for the recently proposed particle-hole-symmetric Pfaffian (“PH-Pfaffian”) topological order, a phase consistent with the recently reported thermal Hall conductance [M. Banerjee et al., Nature 559, 205 (2018)] at the ever enigmatic ν = 5/2 quantum Hall plateau. We find that the most natural Moore-Read-inspired trial state for the PH-Pfaffian, when projected into the lowest Landau level, exhibits a remarkable numerical similarity on accessible system sizes with the corresponding (compressible) composite Fermi liquid. Consequently, this PH-Pfaffian trial state performs reasonably well energetically in the half-filled lowest Landau level, but is likely not a good starting point for understanding the ν = 5/2 ground state. Our results suggest that the PH-Pfaffian model wave function either encodes anomalously weak p-wave pairing of composite fermions or fails to represent a gapped, incompressible phase altogether.