Optical Observation of Quasiperiodic Heisenberg Antiferromagnets in Two Dimensions,Physica Status Solidi (B) - Basic Solid State Physics

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Optical Observation of Quasiperiodic Heisenberg Antiferromagnets in Two Dimensions
Physica Status Solidi (B) - Basic Solid State Physics ( IF 1.5 ) Pub Date : 2020-06-22 , DOI: 10.1002/pssb.202000118
Takashi Inoue ₁ , Shoji Yamamoto ₁

Affiliation

A spin‐wave analysis of magnetic Raman scattering in an antiferromagnetic Heisenberg model on the 2D Penrose lattice of

C_{5 v}

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

E_{2}

symmetry, yielding a spectral weight independent of light polarization. Considering the fourth‐order scatterings as well, activates

A_{1}

and

A_{2}

as well as

E_{2}

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