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.

arXiv commentv1 6+1 pages, 4 figures; v2 6+2 pages, 4 figures; v3 6 + 2.5 pages, 5 figures

References in corpus (50)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Scanning tunneling spectroscopy of high-temperature superconductors
• The doping dependence of T* - what is the real high-Tc phase diagram?
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• A Phenomenological Theory of The Pseudogap State
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Mobility of the Doped Holes and the Antiferromagnetic Correlations in Underdoped High-T_c Cuprates
• Integrability and ideal conductance at finite temperatures
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Microscopic origin of ideal conductivity in integrable quantum models
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Properties of lightly doped t-J two-leg ladders
• Hole and Pair Structures in the t-J model
• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Pseudogap from ARPES experiment: three gaps in cuprates and topological superconductivity
• Conductivity of a clean one-dimensional wire
• Pairing and Excitation Spectrum in doped t-J Ladders
• Controlling Feynman diagrammatic expansions: physical nature of the pseudo gap in the two-dimensional Hubbard model
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• On the finite temperature Drude weight of the anisotropic Heisenberg chain
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• High-energy magnetic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$: Towards a unified description of the electronic and magnetic degrees of freedom in the cuprates
• Doped Spin Liquid: Luttinger Sum Rule and Low Temperature Order
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Hall effect and Fermi surface reconstruction via electron pockets in the high-$T_c$ cuprates
• Flow to strong coupling in the two-dimensional Hubbard model
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• d-Mott phases in one and two dimensions
• Interplay of the Scaling Limit and the Renormalization Group: Implications for Symmetry Restoration
• Excitation spectrum of doped two-leg ladders: A field theory analysis
• The ladder physics in the Spin Fermion model
• Magnetic Response in the Underdoped Cuprates
• Violation of Ioffe-Regel condition but saturation of resistivity of the high Tc cuprates
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• The cuprate phase diagram and the influence of nanoscale inhomogeneities
• Finite wave vector pairing in doped two-leg ladders
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Alternating Superconductor--Insulator Transport Characteristics in a Quantum Vortex Chain
• Auxiliary fermion approach to the RIXS spectrum in a doped cuprate
• The Transformation of the Superconducting Gap to an Insulating Pseudogap at a Critical Hole Density in the Cuprates
• A Wave Packet Approach to Interacting Fermions

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• Low-temperature T-linear resistivity in the strange metal phase of overdoped cuprate superconductors due to umklapp scattering from a spin excitation
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• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
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• 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
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• Impurity-Scattering Assisted Umklapp Scattering as the Origin of Low-Temperature Resistivity in the Normal-State of Cuprate Superconductors