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We propose that a composite fermion operator $f_{i\sigma}(2n_{i{\bar\sigma}}-1)$ could have coherent excitations, where $f_{i\sigma}$ is thefermion operator for interacting electrons and $n_{i{\bar \sigma}}$ is thenumber operator of the opposite spin. In the two-impurity Anderson model, it isfound that the excitation of this composite fermion has a pseudogap in theKondo regime, and has a finite spectral weight in the regime where theexcitation of the regular fermion $f_{i\sigma}$ has a pseudogap. In the latterregime, the self-energy of $f_{i\sigma}$ is found to be singular near Fermienergy. We argue that this composite fermion could develop a Fermi surface withFermi liquid behaviors but "hidden" from charge excitations in latticegeneralizations. We further illustrate that this type of excitations isessential in addressing the pseudogap state and unconventionalsuperconductivity.

Singularity in self-energy and composite fermion excitations of interacting electrons