Phase transitions caused by the redistribution of quasiparticle occupation
numbers n(p) in homogeneous Fermi systems with particle repulsion are analy
zed. The phase diagram of a strongly correlated Fermi system, when drawn in
the coordinates "density rho-dimensionless coupling constant eta," resembl
es a Washington pie for a rather broad class of interactions. Its upper par
t is "filled" with Fermi condensate, and the bottom part is filled with nor
mal Fermi liquid. Both parts are separated by a narrow interlayer of Lifshi
tz phase with a multiply connected Fermi surface. (C) 2000 MAIK "Nauka/Inte
rperiodica".