Particle-hole symmetry breaking in the fractional quantum Hall effect has recently been studied both theoretically and experimentally with most works focusing on non-Abelian states in the second electronic Landau level. In this work, we theoretically investigate particle-hole symmetry breaking of incompressible fractional quantum Hall states in the lowest Landau level under the influence of the realistic effect of a finite magnetic-field strength. A finite magnetic field induces Landau-level and sub-band mixing which are known to break particle-hole symmetry at the level of the Hamiltonian. We analyze the Haldane pseudopotentials, energy spectra and energy gaps, and the wave functions themselves, under realistic conditions. We find that particle-hole symmetry is broken, as determined by energy gaps, between states related via particle-hole conjugation, however, we find that particle-hole symmetry is largely maintained as determined by the effective mass of composite fermions. Finally, we comment and make connection to recent experimental observations regarding particle-hole symmetry in the lowest Landau-level fractional quantum Hall effect [Phys. Rev. Lett. 124, 156801 (2020)].

中文翻译：

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现实条件下最低朗道能级分数量子霍尔态的复合费米子质量增强和粒子-空穴对称性

最近在理论和实验上都对分数量子霍尔效应中的粒子-空穴对称破坏进行了研究，大多数工作都集中在第二电子朗道能级的非阿贝尔态上。在这项工作中，我们从理论上研究了在有限磁场强度的现实效应的影响下，最低朗道能级中不可压缩分数量子霍尔态的粒子-空穴对称破坏。有限磁场会引起朗道级和子带混合，众所周知，这会破坏哈密顿量级的粒子-空穴对称性。我们在现实条件下分析霍尔丹赝势、能谱和能隙，以及波函数本身。我们发现由能隙决定的粒子-空穴对称性被破坏，然而，在通过粒子 - 空穴共轭相关的状态之间，我们发现粒子 - 空穴对称性在很大程度上保持，这是由复合费米子的有效质量决定的。最后，我们评论并联系了最近关于最低朗道级分数量子霍尔效应中粒子-空穴对称性的实验观察。物理。牧师莱特。 124 , 156801 (2020)]。