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

Abstract

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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• Antiferromagnetic ordering in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.5}$
• Spin Excitations in La2CuO4: Consistent Description by Inclusion of Ring-Exchange
• Observation of Magnetic Moments in the Superconducting State of YBa${}_2$Cu${}_3$O${}_{6.6}$
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Cited by in corpus (9)

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• Site dilution of quantum spins in the honeycomb lattice
• Spinon confinement: dynamics of weakly coupled Hubbard chains
• Frustrated quantum Ising spins simulated by spinless bosons in a tilted lattice: from a quantum liquid to antiferromagnetic order
• Spin waves in La_2CuO_4: band structure and correlation effects
• Magnon heat transport in a two-dimensional Mott insulator
• Effect of local charge fluctuations on spin physics in the Neel state of La${}_2$CuO${}_4$
• Magnon and Hole Excitations in the Two-Dimensional Half-filled Hubbard Model
• Neel to spin-Peierls transition in a quasi-1D Heisenberg model coupled to bond phonons