Two-magnon excitations in resonant inelastic x-ray scattering studied by spin-density-wave formalism

Abstract

We study two-magnon excitations in resonant inelastic x-ray scattering (RIXS) at the transition-metal $K$-edge. Instead of working with effective Heisenberg spin models, we work with a Hubbard-type model ($d$-$p$ model) for a typical insulating cuprate La${}_2$CuO${}_4$. For the antiferromagnetic ground state within the spin-density-wave (SDW) mean-field formalism, we calculate the dynamical correlation function within the random-phase approximation (RPA), and then obtain two-magnon excitation spectra by calculating the convolution of it. Coupling between the $K$-shell hole and the magnons in the intermediate state is calculated by means of diagrammatic perturbation expansion in the Coulomb interaction. Calculated momentum dependence of RIXS spectra agrees well with that of experiments. A notable difference from previous calculations based on the Heisenberg spin models is that RIXS spectra have a large two-magnon weight near the zone center, which may be confirmed by further careful high-resolution experiments.

16 pages, 7 figures. Accepted to Phys. Rev. B

References in corpus (9)

• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
• Ultrashort Lifetime Expansion for Indirect Resonant Inelastic X-ray Scattering
• Using RIXS to uncover elementary charge and spin excitations in correlated materials
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Polarization-analyzed resonant inelastic x-ray scattering of the orbital excitations in KCuF3
• Momentum dependent light scattering in insulating cuprates
• Analysis of resonant inelastic x-ray scattering at the $K$ edge in NiO
• Theoretical Analysis of Resonant Inelastic X-Ray Scattering Spectra in LaMnO3
• Momentum-dependent light scattering in a 2D Heisenberg antiferromagnet

Cited by in corpus (2)

• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
• Detecting Crystallographic Lattice Chirality using Resonant Inelastic X-ray Scattering