Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors

Abstract

The high-temperature normal state of the unconventional cuprate superconductors has resistivity linear in temperature $T$, which persists to values well beyond the Mott-Ioffe-Regel upper bound. At low-temperature, within the pseudogap phase, the resistivity is instead quadratic in $T$, as would be expected from Fermi liquid theory. Developing an understanding of these normal phases of the cuprates is crucial to explain the unconventional superconductivity. We present a simple explanation for this behavior, in terms of umklapp scattering of electrons. This fits within the general picture emerging from functional renormalization group calculations that spurred the Yang-Rice-Zhang ansatz: umklapp scattering is at the heart of the behavior in the normal phase.

v1 6+1 pages, 4 figures; v2 6+2 pages, 4 figures; v3 6 + 2.5 pages, 5 figures

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Cited by in corpus (11)

• Non-Fermi liquid phase and linear-in-temperature scattering rate in overdoped two dimensional Hubbard model
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Low-temperature T-linear resistivity in the strange metal phase of overdoped cuprate superconductors due to umklapp scattering from a spin excitation
• Low-temperature T${}^2$ resistivity in the underdoped pseudogap phase versus T-linear resistivity in the overdoped strange-metal phase of cuprate superconductors
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Interaction-enhanced nesting in Spin-Fermion and Fermi-Hubbard models
• Thermoelectric power of overdoped Tl2201 crystals: Charge density waves and $T^1$ and $T^2$ resistivities
• Correlation between the strength of low-temperature T-linear normal-state resistivity and $T_{\mathrm{c}}$ in overdoped electron-doped cuprate superconductors
• Yamaji effect and quantum oscillation in Yang-Rice-Zhang model of underdoped cuprates
• Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering
• Impurity-Scattering Assisted Umklapp Scattering as the Origin of Low-Temperature Resistivity in the Normal-State of Cuprate Superconductors