Walther Meissner Institut, Bayerische Akademie der Wissenschaften, Garching, Germany.
J Phys Condens Matter. 2010 Sep 22;22(37):375702. doi: 10.1088/0953-8984/22/37/375702. Epub 2010 Aug 31.
Raman scattering cross sections depend on photon polarization. In the cuprates, nodal and antinodal directions are weighted more strongly in B(2g) and B(1g) symmetries, respectively. On the other hand, in angle-resolved photoemission spectroscopy (ARPES), electronic properties are measured along well-defined directions in momentum space rather than their weighted averages being taken. In contrast, the optical conductivity involves a momentum average over the entire Brillouin zone. Newly measured Raman response data on high-quality Bi(2)Sr(2)CaCu(2)O(8 + δ) single crystals up to high energies have been inverted using a modified maximum entropy inversion technique to extract from B(1g) and B(2g) Raman data corresponding electron-boson spectral densities (glue), and these are compared to the results obtained with known ARPES and optical inversions. We find that the B(2g) spectrum agrees qualitatively with nodal direction ARPES while the B(1g) results look more like the optical spectrum. A large peak around 30-40 meV in B(1g) and a much less prominent one in B(2g) are taken as support for the importance of (π, π) scattering at this frequency.
拉曼散射截面取决于光子的偏振。在铜氧化物中,节点和非节点方向在 B(2g) 和 B(1g) 对称性中分别有更强的权重。另一方面,在角分辨光电子能谱 (ARPES) 中,电子性质是沿着动量空间中定义明确的方向测量的,而不是取其加权平均值。相比之下,光学电导率涉及整个布里渊区的动量平均。使用改进的最大熵反演技术,对高质量 Bi(2)Sr(2)CaCu(2)O(8 + δ)单晶的高能量新测量的拉曼响应数据进行了反演,以从 B(1g) 和 B(2g) 拉曼数据中提取相应的电子-声子谱密度(胶子),并将其与已知的 ARPES 和光学反演结果进行比较。我们发现,B(2g) 谱与节点方向 ARPES 定性一致,而 B(1g) 结果看起来更像光学谱。B(1g) 中的一个约 30-40 meV 的大峰和 B(2g) 中的一个不太明显的峰被认为是这个频率下(π,π)散射的重要性的支持。