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arXiv · 1503.07264

Effect of broken symmetry on resonant inelastic x-ray scattering from undoped cuprates

Jun-ichi Igarashi·Tatsuya Nagao
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Abstract

We study the magnetic excitation spectra of resonant inelastic x-ray scattering (RIXS) at the $L$-edge from undoped cuprates beyond the fast collision approximation. We analyse the effect of the symmetry breaking ground state on the RIXS process of the Heisenberg model by using a projection procedure. We derive the expressions of the scattering amplitude in both one-magnon and two-magnon excitation channels. Each of them consists of the isotropic and anisotropic contributions. The latter is a new finding and attributed to the long range order of the ground state. The presence of anisotropic terms is supported by numerical calculations on a two-dimensional spin cluster. We express the RIXS spectra in the form of spin-correlation functions with the coefficients evaluated on the cluster, and calculate the function in a two dimensional system within the $1/S$ expansion. Due to the anisotropic terms, the spectral intensities are considerably enhanced around momentum transfer $\textbf{q}=0$ in both one-magnon and two-magnon excitation channels. This finding may be experimentally confirmed by examining carefully the $\textbf{q}$-dependence of the spectra.

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Jun-ichi Igarashi, Tatsuya Nagao. 2015-03-25. Effect of broken symmetry on resonant inelastic x-ray scattering from undoped cuprates. https://doi.org/10.1088/0953-8984/27/18/186002

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