2023/10/15 by Misawa, Setsuo
#FOS: Physical sciences #Superconductivity (cond-mat.supr-con)
paper · doi:10.48550/arxiv.2310.11236
The quasiparticles in the normal state of cuprate superconductors have been shown to behave universally as a 3-dimensional Fermi liquid. Because of interactions and the presence of the Fermi surfaces (or Fermi energies), the quasiparticle energy contains, as a function of the momentum \boldmathp, a term of the form (p-p0)3 ln ( | p-p0 | / p0 ), where p = | \boldmathp | and p0 is the Fermi momentum. The electronic specific heat coefficient γ(T), electrical resistivity, Hall coefficient and thermoelectric power divided by temperature T, follow the logarithmic formula a - b T2 ln ( T/T^*) , a, b, and T^* being constant. Singularities in the Landau f-function produce the T2 ln T dependence of the magnetic susceptibility χ(T), and Knight shift, which gives rise to the phenomenon of the susceptibility maximum. The logarithmic T-dependence of the transport properties arises exclusively from the impurity scattering in 3-dimensional (3D) systems, but does not from the electron-electron scattering in 2D systems. The above logarithmic formula has been shown to explain universally the experimental data for the normal state of all cuprate superconductors. The decrease of γ(T) or χ(T) with decreasing T is not due to the appearance of pseudogap or spin gap but due to its T2 ln T variation.