Madathil P T, Wang C, Singh S K, Gupta A, Rosales K A Villegas, Chung Y J, West K W, Baldwin K W, Pfeiffer L N, Engel L W, Shayegan M
Department of Electrical and Computer Engineering, Princeton University, Princeton, New Jersey 08544, USA.
National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32310, USA.
Phys Rev Lett. 2024 Mar 1;132(9):096502. doi: 10.1103/PhysRevLett.132.096502.
Low-disorder two-dimensional electron systems in the presence of a strong, perpendicular magnetic field terminate at very small Landau level filling factors in a Wigner crystal (WC), where the electrons form an ordered array to minimize the Coulomb repulsion. The nature of this exotic, many-body, quantum phase is yet to be fully understood and experimentally revealed. Here we probe one of WC's most fundamental parameters, namely, the energy gap that determines its low-temperature conductivity, in record mobility, ultrahigh-purity, two-dimensional electrons confined to GaAs quantum wells. The WC domains in these samples contain ≃1000 electrons. The measured gaps are a factor of three larger than previously reported for lower quality samples, and agree remarkably well with values predicted for the lowest-energy, intrinsic, hypercorrelated bubble defects in a WC made of flux-electron composite fermions, rather than bare electrons. The agreement is particularly noteworthy, given that the calculations are done for disorder-free composite fermion WCs, and there are no adjustable parameters. The results reflect the exceptionally high quality of the samples, and suggest that composite fermion WCs are indeed more stable compared to their electron counterparts.
在强垂直磁场存在的情况下,低无序二维电子系统在维格纳晶体(WC)中以非常小的朗道能级填充因子终止,其中电子形成有序阵列以最小化库仑排斥。这种奇异的多体量子相的本质尚未得到充分理解和实验揭示。在此,我们在限制于砷化镓量子阱的具有创纪录迁移率、超高纯度的二维电子中,探测WC最基本的参数之一,即决定其低温电导率的能隙。这些样品中的WC畴包含约1000个电子。测得的能隙比之前报道的低质量样品大两倍,并且与由通量电子复合费米子而非裸电子构成的WC中最低能量的本征超相关气泡缺陷所预测的值非常吻合。鉴于计算是针对无无序的复合费米子WC进行的,且没有可调参数,这种吻合尤其值得注意。结果反映了样品的极高质量,并表明复合费米子WC与电子WC相比确实更稳定。