  We address the intervention of classical-like behavior, well documented in
experimental studies of strongly correlated electron systems of solids that
emerges at temperatures $T$ far below the Debye temperature $T_D$. We attribute
this unexpected phenomenon to spontaneous rearrangement of the conventional
Landau state beyond a critical point at which the topological stability of this
state breaks down, leading to the formation of an interaction-induced flat band
adjacent to the nominal Fermi surface. We demonstrate that beyond the critical
point, the quasiparticle picture of such correlated Fermi systems still holds,
since the damping of single-particle excitations remains small compared with
the Fermi energy $T_F=p^2_F/2m_e$. A Pitaevskii-style equation for
determination of the rearranged quasiparticle momentum distribution $n_*({\bf
p})$ is derived, which applies to explanation of the linear-in-$T$ behavior of
the resistivity $\rho(T)$ found experimentally.
