Abstract
The two-dimensional fermion system with the indirect Einstein phonon-exchange attraction and additional local four-fermion interaction is considered. It is shown that as a result of the attraction between fermions, the normal phase of such a system is divided into two regions. In one of them, called the pseudogap region, the absolute value of the order parameter exists as essentially nonzero value, but its phase is a random quantity. It is important that in the case of attraction due to the phonons, this abnormal region appears at rather low carrier concentrations, i.e., it decreases appreciably with increasing doping. The relevance of the results obtained for high-temperature superconductors is speculated.
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