$t-J$ model one-electron renormalizations: high energy features in photoemission experiments of high-$T_c$ cuprates

TL;DR

This paper uses a perturbative approach to analyze the $t-J$ model, revealing high energy features in photoemission spectra of cuprates, highlighting the role of charge fluctuations in spectral renormalizations.

Contribution

It introduces a perturbative calculation of dynamical properties in the $t-J$ model, linking high energy spectral features to charge fluctuations and experimental observations.

Findings

Identified a strongly renormalized quasiparticle band near the Fermi surface.

Observed incoherent high energy spectra consistent with experiments.

Linked self-energy effects to collective charge fluctuations.

Abstract

Recent angle-resolved photoemission experiments in hole doped cuprates reported new and interesting high energy features which may be useful for understanding the electronic properties of these materials. Using a perturbative approach, which allows the calculation of dynamical properties in the $t-J$ model, one-electron spectral properties were calculated. A strongly renormalized quasiparticle band near the Fermi surface and incoherent spectra at high energy were obtained. Among different current experimental interpretations, the obtained results are closer to the interpretation given by Pan {\it et al.}\cite{pan}. The self-energy shows large high energy contributions which are responsible for the incoherent structures showed by the spectral functions and the reduction of the quasiparticle weight and bandwidth. According to the calculation, collective charge fluctuations are the main source for the self-energy renormalizations. For testing if the obtained self-energy is compatible with transport measurement the resistivity versus temperature was estimated.