It is shown that the phase diagram of a 2D metal with a varying charge
carrier density consists of normal phase regions in which the modulus
of the order parameter is zero, the so-called anomalously normal phas
e in which it differs from zero but has a random phase, and the Berezi
nskii-Kosterlitz-Thouless phase. The characteristic temperatures of tr
ansitions between these phases are determined as well as the behavior
of the chemical potential as a function of the fermion density and tem
perature. An attempt is made to compare qualitatively the obtained pha
se diagram with the observed peculiarities in the behavior of underdop
ed high-T-c superconducting compounds above their critical temperature
. (C) 1997 American Institute of Physics.