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Theory of L-edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladders

机译：L边共振非弹性X射线散射理论在两腿旋转梯中的磁激发

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摘要

We study the magnetic excitation spectra of Cu L_(2,3)-edge resonant inelastic x-ray scattering (RIXS) from the spin-liquid ground state in two-leg spin ladder cuprates. By applying the projection method developed by the present authors, we have derived the formulas of the magnetic RIXS spectra, which are expressed by one- and two-spin correlation functions in the polarization changing and preserving channels, respectively. The one-spin correlation function includes both one- and two-triplon excitations and they are picked up separately by choosing rung wave vectors -q_a = π and 0, respectively. An application to Sr_(14)Cu_(24)O_(41) reveals that the calculated RIXS spectrum captures well the dispersive behavior shown by the lower boundary of two-triplon continuum. An exception is absence of the intensity at zero-momentum transfer where weak but finite intensity was observed in the experiment. By adjusting the geometrical configuration of the measurement, one-triplon dispersion around the zone center could be detectable in the RIXS experiment. The observed weak intensity in the higher-energy region might be attributed to the two-spin correlation function, which could be detected more clearly at the M_3-edge RIXS spectra.
机译：我们研究了自旋液体基态在双腿自旋阶梯形铜酸盐中的Cu L_（2,3）-边缘共振非弹性x射线散射（RIXS）的磁激发光谱。通过应用本文作者开发的投影方法，我们得出了磁RIXS谱的公式，分别由偏振改变和保留通道中的一和二自旋相关函数表示。一旋相关函数既包括一重和两重三重激发，又分别通过选择梯级波矢量-q_a =π和0来分别拾取。在Sr_（14）Cu_（24）O_（41）上的应用表明，所计算的RIXS光谱很好地捕获了由两重三联体的下界表示的色散行为。一个例外是在零动量转移时没有强度，在该实验中观察到的强度弱但有限。通过调整测量的几何配置，可以在RIXS实验中检测到围绕区域中心的三重色散。在高能量区域中观察到的弱强度可能归因于双自旋相关函数，这可以在M_3边缘RIXS光谱中更清楚地检测到。

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