Strong evidence for the three-dimensional Fermi liquid behaviour of quasiparticles in high-$T_{\rm C}$ cupurates

TL;DR

This paper provides strong evidence that quasiparticles in high-$T_c$ cuprates exhibit three-dimensional Fermi liquid behavior, challenging previous assumptions of two-dimensionality and non-Fermi liquid models.

Contribution

The study reanalyzes experimental data to demonstrate that high-$T_c$ cuprates behave as 3D Fermi liquids, contradicting prior non-Fermi liquid theories.

Findings

Susceptibility, resistivity, Hall coefficient follow $T^{2}\ln T$ dependence

Quasiparticles exhibit 3D Fermi liquid behavior

Non-Fermi liquid models like RVB are inconsistent with data

Abstract

It is generally believed that behaviours of quasiparticles (holes) in high-$T_{\rm C}$ cupurates should be attributed to the two-dimensional (2D) electronic states in the CuO$_{2}$ planes. The various anomalies of the transport coefficients for temperatures above $T_{\rm C}$ are long-standing insoluble puzzles and cause serious controversy. Here we reanalyse the published experimental date of LSCO cupurates. We find that the normal-state susceptibility, resistivity, Hall coefficient etc vary precisely as $T^{2}\ln T$ as a function of temperature $T$ in agreement with the prediction of the Fermi liquid model. The quasiparticles are shown to definitely behave as a 3D Fermi liquid. Various attempts to describe the system in terms of non-Fermi liquids,e.g. the RVB state, seem to be erroneous.