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Condensed Matter > Superconductivity
Title: Common behavior of the scaled condensation energy for both high-$T_c$ and conventional superconductors
(Submitted on 4 Feb 2024 (v1), last revised 21 Apr 2024 (this version, v4))
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.
Submission history
From: Vasily Shaginyan [view email][v1] Sun, 4 Feb 2024 15:27:33 GMT (33kb,D)
[v2] Sun, 25 Feb 2024 13:03:31 GMT (33kb,D)
[v3] Sat, 13 Apr 2024 18:21:10 GMT (33kb,D)
[v4] Sun, 21 Apr 2024 21:14:57 GMT (33kb,D)
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