Momentum-dependent light scattering in a 2D Heisenberg antiferromagnet

Abstract

Motivated by the achievements of the $X$-ray scattering technique, we analyzed the profile of the light scattering intensity $R(q,\omega )$ at a finite $q$ in a 2D Heisenberg antiferromagnet. Previous Raman scattering studies at $q=0$ identified the two-magnon peak in $B_{1g}$ scattering geometry. We found that the $B_{1g}$ peak disperses downwards at a finite $q$, and its intensity increases, reaching its maximum at $q=q_0=(0,\pi )$ and symmetry related points. In addition, the intensity in the $A_{1g}$ geometry becomes non-zero at a finite $q$, and also displays a two-magnon peak which gains strength and disperses to larger frequencies with increasing $q$, and reaches its highest intensity at $q_0$. We found that the profile of $R(q_0,\omega )$ is equivalent in $A_{1g}$ and $B_{1g}$ geometries.

arXiv comment5 pages, 4 figures

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Cited by in corpus (10)

• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
• Systematic computation of crystal field multiplets for X-ray core spectroscopies
• Unraveling the Nature of Charge Excitations in La${}_2$CuO${}_4$ with Momentum-Resolved Cu $K$-edge Resonant Inelastic X-ray Scattering
• Magnetic nature of the 500 meV peak in $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{S}{\mathrm{r}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$ observed with resonant inelastic x-ray scattering at the Cu $K$-edge
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Multiple-magnon excitations shape the spin spectrum of cuprate parent compounds
• Spectrum splitting of bimagnon excitations in a spatially frustrated Heisenberg antiferromagnet revealed by resonant inelastic x-ray scattering
• Two-magnon excitations in resonant inelastic x-ray scattering studied by spin-density-wave formalism
• Signatures of multiple charge excitations in RIXS spectra of metals