Resistivity phase diagram of cuprates revisited

Abstract

The phase diagram of the cuprate superconductors has posed a formidable scientific challenge for more than three decades. This challenge is perhaps best exemplified by the need to understand the normal-state charge transport as the system evolves from Mott insulator to Fermi-liquid metal with doping. Here we report a detailed analysis of the temperature (T) and doping (p) dependence of the planar resistivity of simple-tetragonal HgBa${}_2$CuO${}_{4+\delta }$ (Hg1201), the single-CuO${}_2$-layer cuprate with the highest optimal $T_c$. The data allow us to test a recently proposed phenomenological model for the cuprate phase diagram that combines a universal transport scattering rate with spatially inhomogeneous (de)localization of the Mott-localized hole. We find that the model provides an excellent description of the data. We then extend this analysis to prior transport results for several other cuprates, including the Hall number in the overdoped part of the phase diagram, and find little compound-to-compound variation in (de)localization gap scale. The results point to a robust, universal structural origin of the inherent gap inhomogeneity that is unrelated to doping-related disorder. They are inconsistent with the notion that much of the phase diagram is controlled by a quantum critical point, and instead indicate that the unusual electronic properties exhibited by the cuprates are fundamentally related to strong nonlinearities associated with subtle nanoscale inhomogeneity.

arXiv comment22 pages, 5 figures

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• Unconventional short-range structural fluctuations in cuprate high-$T_c$ superconductors
• Effective-field theory for high-$T_c$ cuprates
• Three interaction energy scales in single-layer high-T${}_C$ cuprate HgBa${}_2$CuO${}_{4+\delta }$
• Strange metal from incoherent bosons
• Low-temperature T-linear resistivity in the strange metal phase of overdoped cuprate superconductors due to umklapp scattering from a spin excitation
• Transport properties and doping evolution of the Fermi surface in cuprates
• Die Hard Holographic Phenomenology of Cuprates
• Arc-to-pocket transition and quantitative understanding of transport properties in cuprate superconductors
• Low-temperature T${}^2$ resistivity in the underdoped pseudogap phase versus T-linear resistivity in the overdoped strange-metal phase of cuprate superconductors
• Nanoscale structural correlations in a model cuprate superconductor
• Dynamics of non-thermal states in optimally-doped $B{i}_{2}S{r}_{2}C{a}_{0.92}{Y}_{0.08}C{u}_2{O}_{8+\delta }$ revealed by mid-infrared three-pulse spectroscopy
• Comment on 'Temperature range of superconducting fluctuations above $T_c$ in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ single crystals'
• Pairing susceptibility in the weakly interacting multilayer Hubbard model evaluated by direct perturbative expansion
• On the dilemma between percolation processes and fluctuating pairs as the origin of the enhanced conductivity above the superconducting transition in cuprates
• Aspects of the normal state resistivity of cuprate superconductors Bi2201, Tl2201 and Hg1201
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Impurity-Scattering Assisted Umklapp Scattering as the Origin of Low-Temperature Resistivity in the Normal-State of Cuprate Superconductors