Occurrence of flat bands in strongly correlated Fermi systems and high-Tc superconductivity of electron-doped compounds
V. A. Khodela,b, J. W. Clarkb,c, K. G. Popovd,e, V. R. Shaginyanf,g
aNational Research Centre "Kurchatov Institute", 123182 Moscow, Russia
bMcDonnell Center for the Space Sciences and Department of Physics, Washington University, MO 63130 St. Louis,, USA
cCentro de Ciências Matemáticas, Universidade de Madeira, 9000-390 Funchal, Madeira, Portugal
dKomi Science Center UD of the RAS, 167982 Syktyvkar, Russia
eDepartment of Physics, St.Petersburg State University, 199034 St. Petersburg, Russia
fKonstantinov Petersburg Nuclear Physics Institute of the RAS, National Research Centre "Kurchatov Institute",
188300 Gatchina, Russia
gClark Atlanta University, GA 30314 Atlanta, USA
Abstract
We consider a class of strongly correlated Fermi systems that
exhibit an interaction-induced flat band pinned to the Fermi
surface, and generalize the Landau strategy to accommodate a
flat band and apply the more comprehensive theory to electron
systems of solids. The non-Fermi-liquid behavior that emerges is
compared with relevant experimental data on heavy-fermion metals
and electron-doped high-Tc compounds. We elucidate how
heavy-fermion metals have extremely low superconducting
transition temperature Tc, its maximum reached in the
heavy-fermion metal CeCoIn5 does not exceed 2.3 K, and
explain the enhancement of Tc observed in high-Tc
superconductors. We show that the coefficient A1 of the
T-linear resistivity scales with Tc, in agreement with the
experimental behavior uncovered in the electron-doped materials.
We have also constructed schematic temperature-doping phase
diagram of the copper oxide superconductor
La2-xCexCuO4 and explained the doping dependence of its
resistivity.