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Using the Hamiltonian formulation of Composite Fermions developed recently,the temperature dependence of the spin polarization is computed for thetranslationally invariant fractional quantum Hall states at $\nu=1/3$ and$\nu=2/5$ in two steps. In the first step, the effect of particle-holeexcitations on the spin polarization is computed in a Composite FermionHartree-Fock approximation. The computed magnetization for $\nu=1/3$ lies abovethe experimental results for intermediate temperatures indicating theimportance of long wavelength spin fluctuations which are not correctly treatedin Hartree-Fock. In the second step, spin fluctuations beyond Hartree-Fock areincluded for $\nu=1/3$ by mapping the problem on to the coarse-grainedcontinuum quantum ferromagnet. The parameters of the effective continuumquantum ferromagnet description are extracted from the preceding Hartree-Fockanalysis. After the inclusion of spin fluctuations in a large-N approach, theresults for the finite-temperature spin polarization are in quite goodagreement with the experiments.Comment: 10 pages, 8 eps figures. Two references adde

Finite-temperature magnetism in fractional quantum Hall systems: the composite-fermion Hartree-Fock approximation and beyond