Common behavior of the scaled condensation energy for both high-$T_c$ and conventional superconductors

Abstract

We analyze the scaling of the condensation energy $E_{\Delta }$ divided by $\gamma$, $E_{\Delta }/\gamma \simeq N(0){\Delta }_1^2/\gamma$, of both conventional superconductors and unconventional high-$T_c$ one, where $N(0)$ is the density of states, ${\Delta }_1$ is the maximum value of the superconducting gap and $\gamma$ is the Sommerfeld coefficient. For the first time, we show that the universal scaling of $E_{\Delta }/\gamma \propto T_c^2$ applies equally to conventional superconductors and unconventional high-$T_c$ ones. Our consideration is based on both facts: Bogoliubov quasiparticles act in conventional and unconventional superconductors, and the corresponding flat band is deformed by the unconventional superconducting state. As a result, our theoretical observations based on the fermion condensation theory are in good agreement with experimental facts.

7 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:cond-mat/0305092

References in corpus (12)

• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Topological flat band models with arbitrary Chern numbers
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Overdoping graphene beyond the van Hove singularity
• Scaling Behavior of Heavy Fermion Metals
• Shot noise in a strange metal
• Challenging Magnetic Field Dependence of the Residual Resistivity of the Heavy-Fermion Metal CeCoIn5
• Bogoliubov Quasiparticle on the Gossamer Fermi Surface in Electron-Doped Cuprates
• The fate of quasiparticles at high-temperature
• Effect of superconductivity on the shape of flat bands
• Flat Bands and High Chern Numbers in Twisted Multilayer Graphene
• Transport properties of strongly correlated Fermi systems

Cited by in corpus (1)

• Scaling behavior of superconductors