Composite Fermions waltz to the tune of a Wigner crystal

ORAL

Abstract

We present a new technique and experimental results that directly probe the magnetic-field-induced Wigner crystal (WC) in a 2D electron system. We measure the magneto-resistance of a bilayer electron system with unequal layer densities at high magnetic fields. One layer has a very low density and is in the WC regime ($\nu \ll 1$), while the other (``probe'') layer is near $\nu$ = 1/2 and hosts a sea of composite fermions, quasi-particles formed by attaching two flux-quanta to each interacting electron. The composite fermions feel the periodic electric potential of the WC in the other layer and exhibit magneto-resistance maxima whenever their cyclotron orbit encircles certain integer number (up to 37) of the WC lattice points. The positions of the maxima reveal that the WC has a triangular lattice and yield a direct measure of its lattice constant. Our results provide a striking example of how one can probe an exotic many-body state of 2D electrons using equally exotic quasi-particles of another many-body state.

*We acknowledge support through the NSF (DMR-1305691) for measurements, and the Gordon and Betty Moore Foundation (Grant GBMF4420), Keck Foundation, the NSF MRSEC (DMR-0819860), and the DOE BES (DE-FG02-00-ER45841) for sample fabrication.

Authors

  • Hao Deng

    • Department of Electrical Engineering, Princeton University
  • Yang Liu

    • Department of Electrical Engineering, Princeton University
  • Mansour Shayegan

    • Department of Electrical Engineering, Princeton University
  • Loren Pfeiffer

    • Department of Electrical Engineering, Princeton University
  • Ken West

    • Department of Electrical Engineering, Princeton University
  • Kirk Baldwin

    • Department of Electrical Engineering, Princeton University