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arXiv 1704.06804cond-mat.mes-hall
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寻找填充因子为5/2的复合费米子:朗道能级和子带指数的作用

Search for Composite Fermions at Filling Factor 5/2: Role of Landau Level and Subband Index

M. A. Mueed, D. Kamburov, Md. Shafayat Hossain, L. N. Pfeiffer, K. W. West, K. W. Baldwin, M. Shayegan

摘要:

复合费米子(CF)是一种电子通量准粒子,常被用来解释二维电子系统(2DES)第一激发($N=1$)朗道能级(LL)中在$ν=5/2$观测到的偶分母分数量子霍尔态。虽然已确定存在于最低($N=0$)LL中,但对$N=1$ LL中的CF仍知之甚少。在这里,我们进行几何共振测量检测CF在$ν=5/2$通过进行一维密度调制的2DES。我们的数据,在0.3 K的温度下,揭示了没有几何共振CF的$N=1$ LL。与此形成鲜明对比的是,当通过改变2DES宽度将$ν=5/2$放置在反对称子带的$N=0$ LL中时,我们观察到这种共振的清晰特征。这一发现意味着CF的平均自由程在$N=1$ LL中明显小于在$N=0$ LL中。我们的额外数据作为面内磁场的函数突出了子带指数的作用,并建立了在$N=0$ LL中的$ν=5/2$处的CF在对称子带中比在反对称子带中更具有各向异性。

英文摘要:

The pairing of composite fermions (CFs), electron-flux quasi-particles, is commonly proposed to explain the even-denominator fractional quantum Hall state observed at $ν=5/2$ in the first excited ($N=1$) Landau level (LL) of a two-dimensional electron system (2DES). While well-established to exist in the lowest ($N=0$) LL, much is unknown about CFs in the $N=1$ LL. Here we carry out geometric resonance measurements to detect CFs at $ν=5/2$ by subjecting the 2DES to a one-dimensional density modulation. Our data, taken at a temperature of 0.3 K, reveal no geometric resonances for CFs in the $N=1$ LL. In stark contrast, we observe clear signatures of such resonances when $ν=5/2$ is placed in the $N=0$ LL of the anti-symmetric subband by varying the 2DES width. This finding implies that the CFs' mean-free-path is significantly smaller in the $N=1$ LL compared to the $N=0$ LL. Our additional data as a function of in-plane magnetic field highlight the role of subband index and establish that CFs at $ν=5/2$ in the $N=0$ LL are more anisotropic in the symmetric subband than in the anti-symmetric subband.

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