Role of dynamical non-double-occupancy excitations on the quasiparticle damping of the $t-J$ model in the large-$N$ limit

TL;DR

This paper investigates how dynamical non-double-occupancy excitations influence quasiparticle damping in the $t$-$J$ model, revealing significant asymmetry in the self-energy and its implications for high-energy spectral features.

Contribution

It introduces a large-$N$ path integral method to analyze the $t$-$J$ model, highlighting the role of dynamical non-double-occupancy excitations in quasiparticle damping.

Findings

Self-energy exhibits strong asymmetry with respect to the Fermi level.

Spectra are concentrated at high negative energy, indicating incoherent structures.

Results may explain high-energy features observed in photoemission experiments.

Abstract

One-electron self-energy in the $t$-$J$ model was computed using a recently developed large-$N$ method based on the path integral representation for Hubbard operators. One of the main features of the self-energy is its strong asymmetry with respect to the Fermi level, showing the spectra mostly concentrated at high negative energy. This asymmetry is responsible for the existence of incoherent structures at high negative energy in the spectral functions. It is shown that dynamical non-double-occupancy excitations are relevant for the behavior of the self-energy. It is difficult to understand the asymmetry shown by the self-energy from weak coupling treatments. We compare our results with others in recent literature. Finally, the possible relevance of our results for the recent high energy features observed in photoemission experiments is discussed.