Статьи автора

General scaling behavior of superconductors

Номер выпуска 3-4 от 29.06.2025

The physics of high- superconductors, which has been a major topic in condensed matter physics for more than thirty years, reveals some features of conventional superconductors. We analyze the scaling of the condensation energy divided by γ, /γ≃(0)Δ /γ, that equally applicable to both conventional and unconventional high- superconductors. Here (0) is the density of states, Δ is the maximum value of the superconducting gap and γ is the Sommerfeld coefficient. Basing on this observation, we analyze experimental facts that reveal the general scaling properties of both high- and ordinary superconductors, and theoretically explain that the Homes' law ρ∝ σ( ) is applicable to the both types of superconductors. Here σ is the conductivity, is temperature and is the temperature of superconduction phase transition, λ is the zero- penetration depth, and ρ is the superconducting electron density. For the first time, we also explain the reason of violation of the Homes' law. Our theoretical results agree well with experimental facts.

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