High-energy magnon dispersion in the half-filled Hubbard model: A comparison with La$_2$CuO$_4$

Details High-energy magnon dispersion in the half-filled Hubbard model: A comparison with La$_2$CuO$_4$ High-energy magnon dispersion in the half-filled Hubbard model: A comparison with La$_2$CuO$_4$

2002-05-06

arxiv.org/abs/cond-mat/0205107v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.66.144420

We use quantum Monte Carlo methods and single-mode approximation to study the magnon dispersion in the 2D half-filled Hubbard and phonon-coupled Heisenberg models. We find that in the Hubbard model with $U/t< 8$, high-energy magnon dispersion is similar to those observed in inelastic neutron scattering experiments in ${La}_2{CuO}_4$. On the other hand, our studies of a 2D Heisenberg model coupled to dynamic optical bond phonons, fails to reproduce the experimental dispersion. These results can be interpreted as evidence for intermediate $U/t$ and charge fluctuations in the cuprate materials.

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