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arXiv 2302.02708cond-mat.mes-hall
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高质量$p$ - GaAs/AlGaAs在填充因子$ν$ =1和$ν$ =(1/3)附近空穴相的共存

Coexistence of two hole phases in high-quality $p$-GaAs/AlGaAs in the vicinity of Landau level filling factors $ν$=1 and $ν$=(1/3)

I. L. Drichko, I. Yu. Smirnov, A. V. Suslov, K. W. Baldwin, L. N. Pfeiffer, K. W. West, Y. M. Galperin

摘要:

我们研究了高迁移率$p$ -GaAs/AlGaAs量子阱($p=1.2\times 10^{11}$ ~cm $^{-2}$)在两个朗道能级填充因子$ν$值附近的横向交流磁导:$ν=1$(整数量子霍尔效应)和$ν=1/3$(分数量子霍尔效应).复横向交流电导,$σ_{xx}^{AC} (ω)$,发现从同时测量的衰减和速度的表面声波(SAW)沿压电晶体和二维孔系统之间的界面传播的调查。我们分析了空穴电导的实部和虚部,并比较了填充因子1和填充因子1/3的结果之间的异同。在这两个$ν$的$σ(ν)$依赖性中,在这些值的左侧和右侧都出现了特定形状的最大值“翅膀”。对我们在不同温度和表面声波频率下的声学测量结果的分析使我们能够将这些翅膀归因于集体局域态的形成,即钉扎维格纳晶体的域,即,维格纳固体。虽然维格纳固体已经观察到在2D孔系统之前,我们能够检测到它在最高的空穴密度,因此,最低的孔-孔相互作用报告。

英文摘要:

We focused on the transverse AC magneto-conductance of a high mobility $p$-GaAs/AlGaAs quantum well ($p=1.2\times 10^{11}$~cm$^{-2}$) in the vicinity of two values of the Landau level filling factor $ν$: $ν=1$ (integer quantum Hall effect) and $ν=1/3$ (fractional quantum Hall effect). The complex transverse AC conductance, $σ_{xx}^{AC} (ω)$, was found from simultaneous measurements of attenuation and velocity of surface acoustic waves (SAWs) propagating along the interface between a piezoelectric crystal and the two-dimensional hole system under investigation. We analyzed both the real and imaginary parts of the hole conductance and compared the similarities and differences between the results for filling factor 1 and filling factor 1/3. Both to the left and to the right of these values maxima of a specific shape, "wings", arose in the $σ(ν)$ dependences at those two $ν$. Analysis of the results of our acoustic measurements at different temperatures and surface acoustic wave frequencies allowed us to attribute these wings to the formation of collective localized states, namely the domains of a pinned Wigner crystal, i.e., a Wigner solid. While the Wigner solid has been observed in 2D hole systems previously, we were able to detect 20 it at the highest hole density and, therefore, the lowest hole-hole interaction reported.

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