The other even-denominator fractions

Abstract

Experimental data on the sequence of fractional quantum Hall effects (FQHE) states around Landau level filling factor ν=1/2 are well explained within the framework of the composite fermion model. Around other even-denominator fractions the situation is less clear, experimentally as well as theoretically. In this paper we report experimental studies at even-denominator fillings at ν=1/4, 3/4,5/2 , etc. We show that the composite fermion picture can be applied successfully to the fractions at ν=1/4 and 3/4. Their effective mass, when normalized to B 1/2 (where B is the magnetic field) and their effective g factor are very similar to the composite fermions at ν=1/2 and 3/2. Our ultra-low-temperature study at ν=5/2 shows that this fraction is a true FQHE state, showing vanishing R xx and a Hall resistance R xy precisely quantized to h/(5/2 e 2).