Electron Green's Function in the Planar t-J Model

TL;DR

This paper analytically investigates the electron Green's function in the t-J model at intermediate doping, revealing anomalous damping and spectral asymmetry between electrons and holes.

Contribution

It introduces an analytical approach using equations of motion and decoupling of self energy to study electron Green's functions in the t-J model.

Findings

Marginal spin dynamics cause anomalous quasiparticle damping.

Pronounced asymmetry between hole and electron spectral functions.

Hole-like quasiparticles are generally overdamped.

Abstract

The electron Green's functions $G({\bf k},\omega)$ within the t-J model and in the regime of intermediate doping is studied analytically using equations of motion for projected fermionic operators and the decoupling of the self energy into the single-particle and spin fluctuations. It is shown that the assumption of marginal spin dynamics at T=0 leads to an anomalous quasiparticle damping. Numerical result show also a pronounced asymmetry between the hole ($\omega<0$) and the electron ($\omega>0$) part of the spectral function, whereby hole-like quasiparticles are generally overdamped.