Observation of a new phase transition between fully and partially polarized quantum Hall states with charge and spin gaps at $\nu = 2/3$

Abstract

The average electron spin-polarization $\cal P$ of two-dimensional electron gas confined in $\rm GaAs/GaAlAs$ multiple quantum-wells was measured by nuclear magnetic resonance (NMR) near the fractional quantum Hall state with filling factor $\nu={2/3}$. Above this filling factor (${{2/3}} \leq \nu < 0.85$), a strong depolarization is observed corresponding to two spin flips per additional flux quantum. The most remarkable behavior of the polarization is observed at $\nu ={{2/3}}$, where a quantum phase transition from a partially polarized (${\cal P} \approx {{3/4}}$) to a fully polarized (${\cal P} = 1$) state can be driven by increasing the ratio between the Zeeman and the Coulomb energy above a critical value $\eta_{c} = \frac{\Delta_{Z}}{\Delta_{C}} = 0.0185$.