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Recently observed splitting in angular resolved photoemission spectroscopy(ARPES) on $\chem{Bi_2Sr_{2-x}La_xCuO_{6+\delta}}$ high--temperaturesuperconductor (Janowitz C. {\it et al.}, {\it Europhys. Lett.}, {\bf 60}(2002) 615) is interpreted within the phenomenological Luttinger--liquidframework, in which both the non--Fermi liquid scaling exponent of the spectralfunction and the spin--charge separation are introduced. The anomalous Greenfunction with adjustable parameters fits very well to the Fermi edge and thelow--energy part of ARPES along the $\Gamma-M$ line in the Brillouin zone. Incontrast to one--dimensional models with Luttinger--liquid behavior we findthat both the anomalous scaling $\alpha$ and the parameter $\delta$ describingthe spin--charge separation are momentum dependent. The higher--energy part ofthe spectra is not accounted for by this simple Luttinger--liquid form of theGreen function. In this energy regime additional scattering processes areplausible to produce the experimentally observed wide incoherent background,which diminishes as the inverse of the energy.Comment: 7 pages, 3 figures, EPL styl

europhysics letters

Luttinger-liquid phenomenology and angle-resolved photoemission for single-layer Bi 2 Sr 2 − x La x CuO 6 + δ high-temperature superconductor