Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory

Abstract

The in-plane resistivity of the high-temperature oxide superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$ [LSCO] shows a strong growth of a contribution linear in temperature as the doping is reduced in the overdoped region toward optimal. This linear term is a signature of non-Fermi liquid behavior. We find that the appearance of a linear term in the resistivity can arise in a semiclassical Boltzmann transport theory which uses renormalized quasiparticle scattering rates and an empirical band structure fitted to ARPES data on LSCO. The linearized Boltzmann equation is solved numerically by discretizing the Brillouin zone in a way that fits best to the Fermi surface geometry. The main trends in the development of the anomalous temperature dependence are well reproduced. There is a substantial underestimation of the magnitude of the resistivity which is expected in view of the moderate to weak values we chose for the onsite repulsion to stay within the one-loop renormalization group approximation. The analysis was extended to the Seebeck coefficient with similar agreement with the main trends in the data.

16 pages, 13 figures

References in corpus (7)

• "Deconfined" quantum critical points
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• Hidden Fermi Liquid: The Secret of High Tc Cuprates
• Breakdown of Landau Theory in Overdoped Cuprates near the Onset of Superconductivity

Cited by in corpus (5)

• Intermediate Coupling Model of the Cuprates
• Hidden Fermi-liquid charge transport in the antiferromagnetic phase of the electron-doped cuprates
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Deviation from the Fermi-Liquid Transport Behavior in the Vicinity of a Van Hove Singularity
• The Seebeck coefficient in correlated low dimensional organic metals