Abstract
A spin‐wave analysis of magnetic Raman scattering in an antiferromagnetic Heisenberg model on the 2D Penrose lattice of point symmetry is made. Following the Shastry–Shraiman perturbation scheme for a strongly correlated Hubbard model, fourth‐order effective Raman operators are obtained. Within the second‐order mechanism, there is one and only Raman active mode of symmetry, yielding a spectral weight independent of light polarization. Considering the fourth‐order scatterings as well, activates and as well as modes and therefore results in polarization‐dependent Raman spectra. With the use of linearly and circularly polarized lights, all the symmetry species can separately be extracted from observations. Though the linear spin‐wave theory, i.e., the harmonic oscillator approximation, is far from quantitative, the and Raman intensities are well describable with two magnon interactions. The Raman‐active mode owes much to higher‐order magnon–magnon interactions as well.
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