Extremely correlated fermi liquid of $t$-$J$ model in two dimensions

TL;DR

This paper applies the ECFL theory to the 2D $t$-$J$ model, analyzing spectral functions, Fermi surface, and transport properties across doping levels, aligning with experimental observations.

Contribution

It introduces a comprehensive ECFL-based analysis of the 2D $t$-$J$ model including second neighbor hopping and doping effects, connecting theoretical results with experimental data.

Findings

Asymmetric energy distribution curves match ARPES data

Resistivity curvature change correlates with ARPES intensity loss

Role of super-exchange $J$ in spectral and transport properties elucidated

Abstract

We study the two-dimensional $t$-$J$ model with second neighbor hopping parameter $t'$ and in a broad range of doping $\delta$ using a closed set of equations from the {\em Extremely Correlated Fermi Liquid} (ECFL) theory. We obtain asymmetric energy distribution curves and symmetric momentum distribution curves of the spectral function, consistent with experimental data. We further explore the Fermi surface and local density of states for different parameter sets. Using the spectral function, we calculate the resistivity, Hall number and spin susceptibility. The curvature change in the resistivity curves with varying $\delta$ is presented and connected to intensity loss in Angle Resolved Photoemission Spectroscopy (ARPES) experiments. We also discuss the role of the super-exchange $J$ in the spectral function and the resistivity in the optimal to overdoped density regimes.