Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
| dc.creator | Nagao, Tatsuya | |
| dc.creator | Igarashi, Jun-ichi | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T08:04:43Z | |
| dc.date.available | 2026-07-07T08:04:43Z | |
| dc.description | We study two-magnon spectra in resonant inelastic x-ray scattering (RIXS) from the Heisenberg antiferromanets by extending the formula of Nomura andIgarashi (Phys. Rev. B 71, 035110 (2005)). The core-hole potential in the intermediate state of RIXS gives rise to a change in the exchange coupling between 3d electrons, leading to an effective interaction between the core hole and spins of 3d electrons. We derive a formula suitable to calculate the two-magnon RIXS intensities, replacing the bare core-hole potential responsible to charge excitations by this effective interaction creating two magnons in our previous formula. It consists of two factors, one of which determines the incident-photon-energy dependence and another is the two-magnon correlation function. We evaluate the former factor for La_{2}CuO_{4} in terms of the density of states of the 4p states obtained by the band calculation. We also calculate the two-magnon correlation function as a function of energy loss ωand momentum transfer \textbf{q} of the Heisenberg model on a square lattice,by summing up the ladder diagrams after transforming the magnon-magnon interaction into a separable form. The calculated spectra form a broad peak around ω=3J for S=1/2 on the magnetic Brillouin zone boundary and vanish at \textbf{q}=(0,0) and (π,π). Such momentum dependence of the RIXS spectra could provide an excellent opportunity to study the dynamics in the Heisenberg model. | |
| dc.description | 21 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0701399 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0701399 | |
| dc.identifier | Phys. Rev. B 75, 214414 (2007). | |
| dc.identifier | doi:10.1103/PhysRevB.75.214414 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130066 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets | |
| dc.type | text |