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Particle-hole symmetry and the reentrant integer quantum Hall Wigner solid
Communications Physics ( IF 5.4 ) Pub Date : 2021-09-10 , DOI: 10.1038/s42005-021-00709-x
Vidhi Shingla 1 , Sean A. Myers 1 , Gábor A. Csáthy 1 , Loren N. Pfeiffer 2 , Kirk W. Baldwin 2
Affiliation  

The interplay of strong Coulomb interactions and of topology is currently under intense scrutiny in various condensed matter and atomic systems. One example of this interplay is the phase competition of fractional quantum Hall states and the Wigner solid in the two-dimensional electron gas. Here we report a Wigner solid at ν = 1.79 and its melting due to fractional correlations occurring at ν = 9/5. This Wigner solid, that we call the reentrant integer quantum Hall Wigner solid, develops in a range of Landau level filling factors that is related by particle-hole symmetry to the so called reentrant Wigner solid. We thus find that the Wigner solid in the GaAs/AlGaAs system straddles the partial filling factor 1/5 not only at the lowest filling factors, but also near ν = 9/5. Our results highlight the particle-hole symmetry as a fundamental symmetry of the extended family of Wigner solids and paint a complex picture of the competition of the Wigner solid with fractional quantum Hall states.



中文翻译:

粒子-空穴对称性和重入整数量子霍尔维格纳固体

强库仑相互作用和拓扑学的相互作用目前在各种凝聚态物质和原子系统中受到严格审查。这种相互作用的一个例子是二维电子气中分数量子霍尔态和维格纳固体的相竞争。在这里,我们报告了ν  = 1.79处的 Wigner 固体及其由于在ν  = 9/5处发生的分数相关而导致的熔化。这种 Wigner 固体,我们称之为可重入整数量子霍尔 Wigner 固体,在一系列朗道能级填充因子中发展,这些因子与所谓的可重入 Wigner 固体有关。因此,我们发现 GaAs/AlGaAs 系统中的 Wigner 固体不仅在最低填充因子下,而且在ν附近跨越了部分填充因子 1/5 = 9/5。我们的结果强调了粒子-空穴对称性是维格纳固体扩展族的基本对称性,并描绘了维格纳固体与分数量子霍尔态竞争的复杂图景。

更新日期:2021-09-10
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