Abstract
We investigate the periodic Coqblin–Schrieffer model in terms of functionalintegral formalism, taking account of one- and two-loop corrections to themean-field solution. First, we take account of the one-loop (1L) diagrams todetermine the order parameter corresponding to the heavy-fermion state for thesymmetric case with isotropic hybridization. It is shown that the mean-field orderparameter is enhanced by the radial fluctuations, while it is reduced by the phasefluctuations. Therefore, if the phase fluctuations are gauge-fixed by theAnderson–Higgs mechanism, the heavy-fermion state is more stabilized due to thecorrections. Second, we give the analytical expressions for the two-loop correctionsto the free energy, which consist of the 1L corrections to the fermionself-energy, the boson self-energy, and the fermion–boson vertex function.
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