A simple model for in- and out-of-plane resistivities of hole doped cuprates

TL;DR

This paper introduces a simple phenomenological model that explains the anisotropic resistivities in hole-doped cuprates by incorporating the pseudogap and T-linear resistivity, aligning well with experimental data.

Contribution

The study proposes a novel, simple model capturing the in- and out-of-plane resistivity behaviors in cuprates, emphasizing the roles of the pseudogap and quantum criticality.

Findings

Model successfully fits experimental resistivity data

Resistivity behavior linked to pseudogap and quantum criticality

Explains anisotropic charge dynamics in cuprates

Abstract

The highly anisotropic and qualitatively different nature of in- and out-of-plane charge dynamics in high-Tc cuprates cannot be accommodated within the conventional Boltzmann transport theory. The variation of in- and out-of-plane resistivities with temperature and hole content are also anomalous and cannot be explained by Fermi-liquid theory. In this study we have proposed a simple phenomenological model for the dc resistivity of cuprates by incorporating two firmly established generic features of all hole doped cuprate superconductors- (1) the pseudogap in the quasiparticle energy spectrum and (2) the T-linear resistivity at high temperatures. This T-linear behavior over an extended temperature range can be attributed to a quantum criticality, affecting the electronic phase diagram of cuprates. Experimental in-plane and out-of-plane resistivities of double layer Y(Ca)123 have been analyzed using the proposed model. This phenomenological model describes the temperature and hole content dependent resistivity over a wide range of temperature and hole content.