Explanation of non-linear in-plane electrical resistivity of YBa2Cu4O8: electron-phonon approach

Abstract

The temperature-dependent in-plane normal state electrical resistivity of single crystal YBa2Cu4O8is theoretically analysed within the framework of classical electron-phonon i.e., Bloch-Gruneisen model of resistivity. The contributions to the resistivity due to the inherent acoustic phonons as well as high frequency optical phonons were first estimated. Estimated contribution to in-plane electrical resistivity by considering both phonons along with the zero limited resistivity, when subtracted from single crystal data infers a quadratic temperature dependence over most of the temperature range which is understood in terms of electron-electron inelastic scattering. The value of the electron-phonon coupling strength and of the Coulomb screening parameter obtained from the static dielectric function with the two-dimensional model and is in the strong coupling limit. As an application of the proposed model, the superconducting transition temperature Tc is also estimated. Apart from phonons if we add charge density waves for pairing, we retrieve the experimental reported Tc value.