Abstract
The physical properties of low-energy superconducting quasiparticles in high-${T}_{c}$ superconductors are examined using magnetic penetration depth and specific-heat experimental data. We find that the low-energy density of states of quasiparticles of ${\mathrm{La}}_{2\ensuremath{-}x}{\mathrm{Sr}}_{x}{\mathrm{CuO}}_{4}$ scales with $(x\ensuremath{-}{x}_{c}{)/T}_{c}$ to the leading-order approximation, where ${x}_{c}$ is the critical doping concentration below which ${T}_{c}=0.$ The linear temperature term of the superfluid density is renormalized by quasiparticle interactions and the renormalization factor times the Fermi velocity is found to be doping independent.
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