Evolution of Hole and Spin Dynamics in High Temperature Superconductors within the Small Hole Density Limit of the t-J Model

TL;DR

This paper investigates how hole and spin behaviors evolve in high-temperature superconductors using the t-J model at low hole densities, revealing rapid loss of long-range order and changes in quasiparticle properties.

Contribution

It provides a detailed analysis of the evolution of spin and hole dynamics in the t-J model at small doping levels, highlighting the limitations of certain approximations.

Findings

Long-range electron correlations diminish quickly with doping.

Quasiparticle energy bands become narrower at low hole densities.

Spin excitations near the antiferromagnetic zone boundary are strongly renormalized and damped.

Abstract

The evolution of hole and spin dynamics in high temperature superconductors is studied within the self-consistent noncrossing approximation of the t-J model in the small hole density limit. As the doping concentration is increased, long-range electron correlations disappear rapidly and the quasiparticle energy band becomes considerably narrow. At a small hole density long-range antiferromagnetic order is destroyed leading to the inadequacy of spin wave basis approximation near small wave vectors. Spin excitations near the antiferromagnetic zone boundary are strongly renormalized and damped but they are still well described within spin wave basis approximation.