Magnon-assisted dynamics of a hole doped in a cuprate superconductor

TL;DR

This paper models the behavior of a hole in a cuprate superconductor's antiferromagnetic plane, revealing the crucial role of spin fluctuations in quasiparticle dynamics through advanced calculations aligned with experimental data.

Contribution

It introduces a parameter-free effective one-band t-J model derived from a multiband model and demonstrates the importance of spin fluctuations in quasiparticle behavior.

Findings

Reproduces main experimental features of quasiparticle dispersion and spectral weight.

Shows spin fluctuations are essential for accurate quasiparticle dynamics.

Qualitatively matches multiband model dispersion, especially near (π,π).

Abstract

We calculate the quasiparticle dispersion and spectral weight of the quasiparticle that results when a hole is added to an antiferromagnetically ordered CuO$_2$ plane of a cuprate superconductor. We also calculate the magnon contribution to the quasiparticle spectral function. We start from a multiband model for the cuprates considered previously [Nat. Phys. \textbf{10}, 951 (2014)]. We map this model and the operator for creation of an O hole to an effective one-band generalized $t-J$ model, without free parameters. The effective model is solved using the state of the art self-consistent Born approximation. Our results reproduce all the main features of experiments. They also reproduce qualitatively the dispersion of the multiband model, giving better results for the intensity near wave vector $(\pi,\pi)$, in comparison with the experiments. In contrast to what was claimed in [Nat. Phys. \textbf{10}, 951 (2014)], we find that spin fluctuations play an essential role in the dynamics of the quasiparticle, and hence in both its weight and dispersion.