Dynamical properties of the single--hole $t$--$J$ model on a 32--site square lattice

Abstract

We present results of an exact diagonalization calculation of the spectral function $A(\mathbf{k},\omega )$ for a single hole described by the $t$--$J$ model propagating on a 32--site square cluster. The minimum energy state is found at a crystal momentum $\mathbf{k}=(\frac{\pi }{2},\frac{\pi }{2})$, consistent with theory, and our measured dispersion relation agrees well with that determined using the self--consistent Born approximation. In contrast to smaller cluster studies, our spectra show no evidence of string resonances. We also make a qualitative comparison of the variation of the spectral weight in various regions of the first Brillouin zone with recent ARPES data.

10 pages, 5 postscript figures included

References in corpus (2)

• Correlated Electrons in High Temperature Superconductors
• Photoemission spectra of $\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_2\mathrm{C}{\mathrm{l}}_2$: a theoretical analysis

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