Theoretical study on resonant x-ray scattering from the multipolar ordering phase

多极有序相共振X射线散射的理论研究

• 批准号: 18540309
• 负责人: NAGAO Tatsuya
• 金额: $ 0.93万
• 依托单位: Gunma University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2006
• 资助国家: 日本
• 起止时间: 2006 至 2007
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18540309/
• 关键词: resonant x-ray scattering; multipole order; multipole transition; inelastic scattering; two magnon excitation; 共鳴x線散; 多重極秩序; 散乱振幅公式; f電子系

We have derived useful expressions. Of the resonant x-ray scattering (RXS) amplitude on the basis of the localized electron picture. The expressions include precise energy dependence of the spectra since the summation over the intermediate states are carried out without using the so-called fast collision approximation with the assumption that the Hamiltonian describing the intermediate states preserves the rotational invariance. The expressions and their derivatives have proved that the spectral analysis in RXS in the felectron system can lend a powerful support in elucidating the nature of the multipolar ordering phases. We present some examples to show them.First, we have applied to the multipolar ordering phases such as octupolar in Ce_<1-x>La_xB_6 and some other multi-k ordering phases. They reproduced the experimental results well and predicted some intriguing features.Second, the expression has been extended to the case of the long period ordered structure such as the helical and conical magnetic phases exhibited by some heavy rare earth metal. Taking holmium as an example, we have calculated the RXS spectra. The results indicate that the spectral shape can discriminate the different phases in some cases in this system. We also have predicted that the fourth satellite spot is detectable in the electric dipole (E1) transition in the conical phase of Ho.Third, RXS spectrum in the magnetite has been studied at the A site Fe ions, which lack local space inversion symmetry. Then, parity odd process, for instance, E1-quadrupole (E2) process survives when some specific experimental conditions are satisfied. We have calculated both the RXS and absorption spectra, the latter of which show clear evidence of the El-E2 process.Finally, we have investigated two-magnon excitation spectra of resonant inelastic x- ray scattering from La_2CuO_4, which proves that the experimentally observed spectra are indeed due to the two-magnon excitations in cuprates.

我们得出了有用的表达。基于局部电子图片的谐振X射线散射（RXS）幅度的幅度。表达式包括光谱的精确能量依赖性，因为对中间状态的总和不使用所谓的快速碰撞近似，并假设汉密尔顿描述了中间状态的hamiltonian保留旋转不变性。表达式及其衍生物已经证明，FELECTRON系统中RX中的光谱分析可以为阐明多极排序阶段的性质提供强大的支持。我们提出了一些示例来显示它们。首先，我们应用于ce_ <1-x> la_xb_6中的八置阶段，例如八度阶段，以及其他一些Multi-K排序阶段。他们很好地重现了实验结果，并预测了一些有趣的特征。第二，表达式已扩展到长期有序结构的情况，例如某些重稀土金属所表现出的螺旋和圆锥形磁相。以Holmium为例，我们计算了RXS光谱。结果表明，在某些情况下，光谱形状可以区分不同阶段。我们还预测，在HO的锥形阶段，在电偶极期的电偶极子（E1）过渡中可以检测到第四个卫星点。在缺乏局部空间反转对称性的A位置FE离子上已经研究了磁铁矿中的RxS光谱。然后，例如，当满足某些特定的实验条件时，奇偶校验奇数过程（E2）过程将生存。 We have calculated both the RXS and absorption spectra, the latter of which show clear evidence of the El-E2 process.Finally, we have investigated two-magnon excitation spectra of resonant inelastic x- ray scattering from La_2CuO_4, which proves that the experimentally observed spectra are indeed due to the two-magnon excitations in cuprates.

项目成果

Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets

• DOI: 10.1103/physrevb.75.214414
• 发表时间: 2007-01
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: T. Nagao;J. Igarashi

Two-magnon excitations from quantum Heisenberg antiferromagnets probed by resonant inelastic x-ray scattering

通过共振非弹性 X 射线散射探测量子海森堡反铁磁体的双磁振子激发

• 发表时间: 2007
• 作者: M. Sasaki;A. Ohnishi;M. Saito;S. Nonoyama;T. Osada;E. Ohmichi;K. Suga;K. Kindo;Y. Hara;長尾 辰哉
• 通讯作者: 長尾 辰哉

(Invited) Amplitude formula of resonant x-ray scattering for localized f electron system

（特邀）局域f电子系统共振X射线散射的振幅公式

• 发表时间: 2006
• 作者: M. Sasaki;M. Saito;K. Kikuchi;A. Ohnishi;S. Nonoyama;K. Suga;K. Kindo;長尾 辰哉
• 通讯作者: 長尾 辰哉

共鳴非弾性x線散乱によるLa_2CuO_4の2マグノン励起の理論

La_2CuO_4共振非弹性X射线散射2-磁振子激发理论

• 发表时间: 2006
• 作者: 長尾 辰哉;五十嵐 潤一
• 通讯作者: 五十嵐 潤一

Electric quadrupole contribution to resonant x-ray seattering. Application to multipole ordering phase in Ce_<1-X>La_XB_6

电四极杆对 X 射线共振坐垫的贡献。

• 发表时间: 2006
• 期刊: Physical Review B74
• 作者: 金森逸作;鈴木博;Tatsuya Nagao and Jun-ichi Igarashi;Issaku Kanamori;Tatsuya Nagao and Jun-ichi Igarashi
• 通讯作者: Tatsuya Nagao and Jun-ichi Igarashi