论文标题

对二维的Heisenberg Antiferromagnets的光学观察

Optical observation of quasiperiodic Heisenberg antiferromagnets in two dimensions

论文作者

Inoue, Takashi, Yamamoto, Shoji

论文摘要

我们计算二维Penrose晶格上海森堡抗铁磁铁的磁性拉曼光谱。我们遵循强烈相关的哈伯德系统中拉曼散射的Shastry-shraiman公式,并获得了二阶和四阶有效拉曼操作员。二阶拉曼强度来自E2模式,在极化向量的任意旋转下它是不变的。四阶拉曼强度由A1和A2以及E2组成,因此产生了强大的极化依赖性。特别是,A2模式强度直接检测到动力学自旋手续性波动。使用线性和圆形的灯光,我们可以从观测值中分别提取所有不可减至的表示。我们进一步讨论了磁岩相互作用对磁性拉曼散射的影响。我们的理论为两麦克农散射过程提供了合理的解释。

We calculate magnetic Raman spectra of Heisenberg antiferromagnets on the two-dimensional Penrose lattice. We follow the Shastry-Shraiman formulation of Raman scattering in a strongly correlated Hubbard system and obtain the second- and fourth-order effective Raman operators. The second-order Raman intensity comes from the E2 mode, and it is invariant under an arbitrary rotation of polarization vectors. The fourth-order Raman intensities consist of A1 and A2, as well as E2, modes and therefore yield strong polarization dependence. In particular, the A2 mode intensity directly detects the dynamical spin-chirality fluctuations. Employing linearly and circularly polarized lights, we can separately extract every irreducible representation from the observations. We further discuss effects of magnon-magnon interactions on the magnetic Raman scattering. Our theory provides a reasonable explanation for the two-magnon scattering process.

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