Optical Emission from quantum phases of the second Landau level

Optical emission across the host semiconductor bandgap has proven a powerful tool in examining the properties fractional quantum Hall sates (fqhs). While the luminescence of fqhs in the first (N$=$0) Landau Level has been extensively studied, there are significantly fewer studies of the optical emission in the N$=$1 Landau Level. We report studies of luminescence in the filling factor range 4\textgreater nu\textgreater 2 N$=$1 Landau level. The marked dependence on filling factor suggests that optical emission is here linked to competing quantum phases. A comparison of luminescence in a range about $\nu =$7/3 with extensively studied optical emission near $\nu =$1/3 creates venues to explore the competing quantum phases of the second Landau levels.