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Competing Quantum Hall Phases in the Second Landau Level in Low Density Limit

Pan, Wei P.; Serafin, A.S.; Xia, J.S.; Liang, Y.L.; Sullivan, N.S.; Baldwin, K.W.; West, K.W.; Pfeiffer, L.N.; Tsui, D.C.

Up to date, studies of the fractional quantum Hall effect (FQHE) states in the second Landau level have mainly been carried out in the high electron density regime, where the electron mobility is the highest. Only recently, with the advance of high quality low density MBE growth, experiments have been pushed to the low density regime [1], where the electron-electron interactions are strong and the Landau level mixing parameter, defined by κ = e2/εIB/ℏωe, is large. Here, lB = (ℏe/B)1/2 is the magnetic length and ωc = eB/m the cyclotron frequency. All other parameters have their normal meanings. It has been shown that a large Landau level mixing effect strongly affects the electron physics in the second Landau level [2].