Occurrence of flat bands in strongly correlated Fermi systems and high-$T_c$ superconductivity of electron-doped compounds

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-$T_c$ compounds. We elucidate how heavy-fermion metals have extremely low superconducting transition temperature $T_c$, its maximum reached in the heavy-fermion metal CeCoIn${}_5$ does not exceed 2.3 K, and explain the enhancement of $T_c$ observed in high-$T_c$ superconductors. We show that the coefficient $A_1$ of the $T$-linear resistivity scales with $T_c$, 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 $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{C}{\mathrm{e}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$ and explained the doping dependence of its resistivity.

arXiv comment6 pages, 2 figures, revised and published by JETP Lett

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Cited by in corpus (9)

• Superfluidity in topologically nontrivial flat bands
• Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
• Transport anomalies and quantum criticality in electron-doped cuprate superconductors
• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
• The influence of topological phase transition on the superfluid density of overdoped copper oxides
• Topological basis for understanding the behavior of the heavy-fermion metal $\beta -\mathrm{YbAl}{\mathrm{B}}_4$ under application of magnetic field and pressure
• Toward a topological scenario for high-temperature superconductivity of copper oxides
• Quasi-one-dimensional quantum spin liquid in the $\mathrm{Cu}({\mathrm{C}}_4{\mathrm{H}}_4{\mathrm{N}}_2)(\mathrm{N}{\mathrm{O}}_3{)}_2$ insulator
• The occurrence of a Mott-like gap in single-particle spectra of electron systems possessing flat bands