Wave functions and other properties of spin-reversed quasiparticles at ν=1/mLandau-level occupation

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Abstract
A family of wave functions appropriate for arbitrary-spin quasiparticles of the fully polarized, ν=1/m incompressible fluid is constructed. The spectrum with spin degrees of freedom included, becomes more complex, and in particular, is shown to be massively degenerate (no Zeeman energy). As a result, for finite systems in the absence of Zeeman energy the absolute ground states for two sectors differing by one flux quantum are spin singlet and maximally polarized. I study the spectrum with two reversed spins near ν=1 for up to 160 electrons and find the signature of this trend to persist in the thermodynamic limit. I also find that for all experimentally accessible magnetic field values, the single spin-reversed quasiparticle at ν=1 is irrelevant and is preempted by quasiparticles having additional reversed spins.