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Photoemission in the system of linear charged chains has been studied withthe dipole matrix incorporated, from which its dependencies on thephotoelectron momentum (${\bf k}$), photon polarization ($\hat{\bf E}$), andphoton energy ($\omega$) can be explored. The used model is thethree-dimensional array of noninteracting chains, which is so simple as toallow an analytic approach. Motivations of the study are for the doped CuO$_3$chain in PrBa$_2$Cu$_3$O$_7$ and the doped static stripe phase in La$_{\rm2-x-y}$Nd$_{\rm y}$Sr$_{\rm x}$CuO$_4$. The one-dimensional dispersionexhibiting spin-charge separation and its dependence on the momentumperpendicular to the chain and its $\hat{\bf E}$-dependency as well arediscussed in PrBa$_2$Cu$_3$O$_7$. For La$_{\rm 2-x-y}$Nd$_{\rm y}$Sr$_{\rmx}$CuO$_4$, the anomalous spectral distribution formed by two sets of stripesperpendicular to each other is investigated. The geometric effects led to bythe dipole transition matrix including the interference of photocurrents fromdifferent chains are found to change the simple one-dimensional featuredrastically. We find these changes are consistent with experiment for the chainsystem PrBa$_2$Cu$_3$O$_7$, but less satisfactory for the stripe phase inLa$_{\rm 2-x-y}$Nd$_{\rm y}$Sr$_{\rm x}$CuO$_4$. This means that in the stripephase much two-dimensional characters still exist unlike the chain system.Comment: 13 pages, 7 figure

journal of the physical society of japan

Photoemission in the System of Linear Chains: Application to PrBa2Cu3O7and La2-x-yNdySrxCuO4