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We present an exact diagonalization study of the single particle spectralfunction in the 1D and 2D t-J model. By studying the scaling properties with Jand t we find a simple building pattern in 1D and show that every spectralfeature can be uniquely assigned by a spinon and holon momentum. We find twotypes of low energy excitations: a band with energy scale J and high spectralweight disperses upwards in the interior part of the Brillouin zone and reachesE_F at k_F, and a band with energy scale t and low spectral weight dispersesdownwards in the outer part of the zone, touching E_F at 3k_F. An analogousanalysis of the 2D case at half filling shows that the t-band exists also inthis case, but is diffuse and never reaches the Fermi energy. For the dopedcase in 2D the picture is more reminiscent of 1D, in particular the `main-band'with a dispersion proportional J and the `shadow band' with energy scale t canbe identified also in this case. This leads us to propose that the shadow bandsdiscovered by Aebi et al. in Bi2212 are the 2D analogue of the 3k_F singularityin 1D systems and unrelated to antiferromagnetic spin fluctuations.Comment: 9 pages, Revtex, with 10 eps figures. Hardcopies of figures (or the  entire manuscript) can be obtained by e-mail request to eder@vsf1.phys.rug.n

physical review. b, condensed matter

Photoemission spectra of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi></mml:math>model in one and two dimensions: Similarities and differences

Photoemission spectra of thet-Jmodel in one and two dimensions: Similarities and differences