Electron spectral functions of two-dimensional high-Tc superconductors in the model of fermion condensation

Spectral functions of strongly correlated two-dimensional electron systems in solids are studied on the assumption that these systems undergo as phase transition, called fermion condensation, whose characteristic feature is flattening of the electron spectrum ε (p). Unlike the previous models in the present study, the decay of single-particle states is properly taken into account. Results of calculations are shown to be in qualitative agreement with ARPES data. The universal behavior of the ration ImΕ(p, ε, T)/T as a function of x = ε/T are found to be reproduced reasonably well. However, in the present model this behavior is destroyed in vicinities of the van Hove points where the fermion condensate resides