Theory of L-edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladder

Abstract

We study the magnetic excitation spectra of Cu L_{2,3}-edge resonant inelastic x-ray scattering (RIXS) from the spin-liquid ground state in two-leg spin ladder cuprates. Applying the projection method developed by the present authors, we have derived the formulas of the magnetic RIXS spectra, which are expressed by one- and two-spin correlation functions in the polarization changing and preserving channels, respectively. The one-spin correlation function includes both one- and two-triplon excitations and they are picked up separately by choosing rung wave vector -q_a=πand 0, respectively. An application to Sr_{14}Cu_{24}O_{41} reveals that the calculated RIXS spectrum captures well the dispersive behavior shown by the lower boundary of two-triplon continuum. By adjusting the geometrical configuration of the measurement, one-triplon dispersion around the zone center could be detectable in the RIXS experiment. The observed weak intensity in the higher energy region might be attributed to the two-spin correlation function, which could be detected more clearly at the M_{3}-edge RIXS spectra.

10 pages, 7 figures, Latex

References in corpus (10)

• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
• Bimagnon studies in cuprates with Resonant Inelastic X-ray Scattering at the O K edge. I - An assessment on La2CuO4 and a comparison with the excitation at Cu L3 and Cu K edges
• The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Magnetic excitations in L-edge resonant inelastic x-ray scattering from cuprate compounds
• Doping dependence of magnetic excitations of 1D cuprates as probed by Resonant Inelastic x-ray Scattering
• Magnetic excitations in L-edge resonant inelastic x-ray scattering from one-dimensional cuprates

Cited by in corpus (6)

• Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
• Analysis of resonant inelastic x-ray scattering from Sr${}_2$IrO${}_4$ in an itinerant-electron approach
• Crossover of the high-energy spin fluctuations from collective triplons to localized magnetic excitations in doped Sr14-xCaxCu24O41 cuprate ladders
• Elementary excitations probed by L-edge resonant inelastic x-ray scattering in systems with weak and intermediate electron correlations
• Effect of broken symmetry on resonant inelastic x-ray scattering from undoped cuprates
• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model