Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates

Abstract

In this article, I review progress towards an understanding of the normal state (in-plane) transport properties of high-$T_c$ cuprates in the light of recent developments in both spectroscopic and transport measurement techniques. Against a backdrop of mounting evidence for anisotropic single-particle lifetimes in cuprate superconductors, new results have emerged that advocate similar momentum dependence in the transport decay rate $\Gamma$({\bf k}). In addition, enhancement of the energy scale (up to the bare bandwidth) over which spectroscopic information on the quasiparticle response can be obtained has led to the discovery of new, unforeseen features that surprisingly, may have a significant bearing on the transport properties at the dc limit. With these two key developments in mind, I consider here whether all the ingredients necessary for a complete phenomenological description of the anomalous normal state transport properties of high-$T_c$ cuprates are now in place.

31 pages, 10 figures

References in corpus (24)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Inelastic Light Scattering From Correlated Electrons
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• A universal high energy anomaly in angle resolved photoemission spectra of high temperature superconductors - possible evidence of spinon and holon branches
• Two energy scales in the spin excitations of the high-T_c superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Laser ARPES, the sudden approximation, and quasiparticle-like peaks in Bi2Sr2CaCu2O8+delta
• High-energy kink in high-temperature superconductors
• Bifurcation diagram and pattern formation in superconducting wires with electric currents
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• The hierarchy of multiple many-body interaction scales in high-temperature superconductors
• High-energy scale revival and giant kink in the dispersion of a cuprate superconductor
• Strong charge fluctuations manifested in the high-temperature Hall coefficient of high-T_c cuprates
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• Electrical resistivity near Pomeranchuk instability in two dimensions
• High-field Hall resistivity and magnetoresistance in electron-doped Pr_2-xCe_xCuO_{4-δ}
• Total suppression of superconductivity by high magnetic fields in YBa2 Cu3O6.6
• Manifestation of the magnetic resonance mode in the nodal quasiparticle lifetime in superconducting cuprates
• Negative Hall coefficients of heavily overdoped La2-xSrxCuO4
• Angle dependent magnetoresistance measurements in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ and the need for anisotropic scattering
• Normal state electronic structure in the heavily overdoped regime of Bi1.74Pb0.38Sr1.88CuO6+delta single-layer cuprate superconductors
• Optical response of high-$T_c$ cuprates: possible role of scattering rate saturation and in-plane anisotropy
• Influence of Disorder on the Hall Effect in Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$
• Small-angle scattering in a marginal Fermi-liquid

Cited by in corpus (57)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Hole-Doped Cuprate High Temperature Superconductors
• Character of the "normal state" of the nickelate superconductors
• Scaling theory of the cuprate strange metals
• Cuprate superconductors as viewed through a striped lens
• Superconductivity in nickel based 112 systems
• Kinetic theory of transport for inhomogeneous electron fluids
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• Transport properties of ultrathin YBa${}_2$Cu${}_3$O${}_{7-\delta }$ nanowires: a route to single photon detection
• Superconductivity and normal-state transport in compressively strained La${}_2$PrNi${}_2$O${}_7$ thin films
• Violation of the isotropic-$\ell$ approximation in overdoped La_{2-x}Sr_xCuO_4
• Strain-controlled band engineering and self-doping in ultrathin LaNiO${}_3$ films
• Higgs criticality in a two-dimensional metal
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• Charge density waves and Fermi-surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+x
• A novel non-Fermi-liquid state in the iron-pnictide FeCrAs
• Hidden Fermi-liquid charge transport in the antiferromagnetic phase of the electron-doped cuprates
• Low temperature $T$-linear resistivity due to umklapp scattering from a critical mode
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Strongly-overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Evidence for Josephson-coupled grains of strongly-correlated superconductor
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Separation of transport lifetimes in SrTiO3-based two-dimensional electron liquids
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Notes on Properties of Holographic Strange Metals
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• Theory of Low-Temperature Hall Effect in Stripe--Ordered Cuprates
• A counterexample to the conjectured Planckian bound on transport
• Flat band induced non-Fermi liquid behavior of multicomponent fermions
• Probing the optical conductivity of trapped charge-neutral quantum gases
• Linkage between scattering rates and superconductivity in doped ferropnictides
• Transport in the 2D Fermi-Hubbard Model: Lessons from Weak Coupling
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals
• Strange metal from incoherent bosons
• Influence of doping on the Hall coefficient in Sr_{14-x}Ca_xCu_24O_41
• Phenomenological classification of metals based on resistivity
• Low-temperature T-linear resistivity in the strange metal phase of overdoped cuprate superconductors due to umklapp scattering from a spin excitation
• Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
• Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation
• Low-temperature T${}^2$ resistivity in the underdoped pseudogap phase versus T-linear resistivity in the overdoped strange-metal phase of cuprate superconductors
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors
• The Strange Metal State of the high-Tc Cuprates
• One-dimensional scattering of two-dimensional fermions near quantum criticality
• Superconductivity mystery turns 25
• Thermoelectric power of overdoped Tl2201 crystals: Charge density waves and $T^1$ and $T^2$ resistivities
• Gapped dilatons in scale invariant superfluids
• Evolution with hole doping of the electronic excitation spectrum in the cuprate superconductors
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Disorder versus two transport lifetimes in a strongly correlated electron liquid
• Longitudinal Magnetoresistance in YBa${}_2$Cu${}_3$O${}_7$ at High Magnetic Fields of up to 100 T
• Correlation between the strength of low-temperature T-linear normal-state resistivity and $T_{\mathrm{c}}$ in overdoped electron-doped cuprate superconductors
• Non-linear Hall resistivity in overdoped Pr${}_{1.82}$Ce${}_{0.18}$CuO${}_{4+\delta }$ electron-doped cuprate
• Landau Quasiparticles in Weak Power-Law Liquids
• Critical scaling of the AC conductivity and momentum dissipation