Study of partially polarized fractional quantum hall states

The Fractional Quantum Hall Effect (FQHE) is basically the problem of interacting electrons in 2D in the presence of a strong perpendicular magnetic field. Here, Hall resistance takes some quantized values as RH=h/νe², ν is the Landau level (LL) filling fraction of electron. The well established Composite Fermion (CF) theory is based on the principle that, each electron in the lowest LL capture an even number (2p) of quantum vortices. CFs form their own Landau-like energy levels in the reduced magnetic field, called Λ-levels. In CF picture, the FQHE of filling fraction ν = n/2pn±1 maps into non-interacting n (integer)-number of filled CF Λ-levels. Explained here are those polarized states of some filling fractions (ν = 2/5, 4/9, 2/3, 3/5) using Chern Simon's (CS) theory and plasma picture, proposed by Halperin