Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model

Abstract

We consider the implications of a phenomenological model self-energy for the charge transport properties of the metallic phase of the overdoped cuprate superconductors. The self-energy is the sum of two terms with characteristic dependencies on temperature, frequency, location on the Fermi surface, and doping. The first term is isotropic over the Fermi surface, independent of doping, and has the frequency and temperature dependence characteristic of a Fermi liquid. The second term is anisotropic over the Fermi surface (vanishing at the same points as the superconducting energy gap), strongly varies with doping (scaling roughly with $T_c$, the superconducting transition temperature), and has the frequency and temperature dependence characteristic of a marginal Fermi liquid. Previously it has been shown this self-energy can describe a range of experimental data including angle-dependent magnetoresistance (ADMR) and quasi-particle renormalisations determined from specific heat, quantum oscillations, and angle-resolved photo-emission spectroscopy (ARPES). Without introducing new parameters and neglecting vertex corrections we show that this model self-energy can give a quantitative description of the temperature and doping dependence of a range of reported transport properties of Tl2201 samples. These include the intra-layer resistivity, the frequency dependent optical conductivity, the intra-layer magnetoresistance, and the Hall coefficient. The temperature dependence of the latter two are particularly sensitive to the anisotropy of the scattering rate and to the shape of the Fermi surface. In contrast, the temperature dependence of the Hall angle is dominated by the Fermi liquid contribution to the self-energy that determines the scattering rate in the nodal regions of the Fermi surface.

17 pages, 16 figures

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• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• Aspects of the Normal State Resistivity of Cuprate Superconductors
• Nodal Landau Fermi-Liquid Quasiparticles in Overdoped La${}_{1.77}$Sr${}_{0.23}$CuO${}_4$
• Thermal conductivity and heat diffusion in the two-dimensional Hubbard model
• Strange metal from incoherent bosons
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• Resistance of High-Temperature Cuprate Superconductors
• Coulomb drag between two strange metals
• Interpreting Angle Dependent Magnetoresistance in Layered Materials: Application to Cuprates
• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
• Spectral function method for Hall conductivity of incoherent metals
• Revival of Single-Particle Transport Theory for the Normal State of High-Tc Superconductors: I. Relaxation-Time Approximation