English

Moving crystal phases of a quantum Wigner solid in an ultra-high-quality 2D electron system

Mesoscale and Nanoscale Physics 2024-01-25 v1

Abstract

In low-disorder, two-dimensional electron systems (2DESs), the fractional quantum Hall states at very small Landau level fillings (ν\nu) terminate in a Wigner solid (WS) phase, where electrons arrange themselves in a periodic array. The WS is typically pinned by the residual disorder sites and manifests an insulating behavior, with non-linear current-voltage (\textit{I-V}) and noise characteristics. We report here, measurements on an ultra-low-disorder, dilute 2DES, confined to a GaAs quantum well. In the ν<1/5\nu < 1/5 range, superimposed on a highly-insulating longitudinal resistance, the 2DES exhibits a developing fractional quantum Hall state at ν=1/7\nu=1/7, attesting to its exceptional high quality, and dominance of electron-electron interaction in the low filling regime. In the nearby insulating phases, we observe remarkable non-linear \textit{I-V} and noise characteristics as a function of increasing current, with current thresholds delineating three distinct phases of the WS: a pinned phase (P1) with very small noise, a second phase (P2) in which dV/dIdV/dI fluctuates between positive and negative values and is accompanied by very high noise, and a third phase (P3) where dV/dIdV/dI is nearly constant and small, and noise is about an order of magnitude lower than in P2. In the depinned (P2 and P3) phases, the noise spectrum also reveals well-defined peaks at frequencies that vary linearly with the applied current, suggestive of washboard frequencies. We discuss the data in light of a recent theory that proposes different dynamic phases for a driven WS.

Keywords

Cite

@article{arxiv.2401.13533,
  title  = {Moving crystal phases of a quantum Wigner solid in an ultra-high-quality 2D electron system},
  author = {P. T. Madathil and K. A. Villegas Rosales and Y. J. Chung and K. W. West and K. W. Baldwin and L. N. Pfeiffer and L. W. Engel and M. Shayegan},
  journal= {arXiv preprint arXiv:2401.13533},
  year   = {2024}
}