Unified quantitative model for magnetic and electronic spectra of the undoped cuprates

TL;DR

This paper develops a unified quantitative model for magnetic and electronic spectra of undoped cuprates using a low-energy effective Hamiltonian derived from the Hubbard model, enabling detailed comparison with experimental data.

Contribution

It introduces a precise derivation of an effective spin-Hamiltonian from the Hubbard model and fits experimental spin-wave dispersions for several cuprates.

Findings

Accurate parameters for the Hubbard model were obtained.

Predictions for measurable quantities match experimental results.

The model provides insights into spin and electronic excitations in cuprates.

Abstract

Using low-energy projection of the one-band t-t'-t"-Hubbard model we derive an effective spin-Hamiltonian and its spin-wave expansion to order 1/S. We fit the spin-wave dispersion of several parent compounds to the high-temperature superconducting cuprates: La2CuO4, Sr2CuO2Cl2 and Bi2Sr2YCu2O8. Our accurate quantitative determination of the one-band Hubbard model parameters allows prediction and comparison to experimental results of measurable quantities such as staggered moment, double occupancy density, spin-wave velocity and bimagnon excitation spectrum and density of states, which is discussed in relation to K-edge RIXS and Raman experiments.