Kavli Affiliate: Brad Ramshaw
| Summary:
A major puzzle in high-$T_rm c$ superconductivity is the origin of the “Planckian” relaxation rate $1/τ$ underlying the linear-in-temperature resistivity in the strange-metal state, which persists up to very high temperatures. Implicit in theoretical discussions is the assumption that $1/τ$ must be universal. Experimentally, it is unclear, however, how such universality can be reconciled with the observed strong doping dependence of the resistivity over a wide doping range. We show, through an analysis of a large body of optical conductivity and electrical resistivity data, that a universal $1/τ$ requires only that the square optical plasma frequency $ω_rm opt^2(p)$ scales linearly with $p$ across the entire doping range, as is observed experimentally. We further argue that this can be understood via a Gutzwiller factor in doped Mott insulators of the form proposed by Anderson [emphScience textbf235, 1196 (1987)].
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