Pseudogap and antiferromagnetic correlations in the Hubbard model

Abstract

Using the dynamical cluster approximation and quantum monte carlo we calculate the single-particle spectra of the Hubbard model with next-nearest neighbor hopping $t^{\prime }$. In the underdoped region, we find that the pseudogap along the zone diagonal in the electron doped systems is due to long range antiferromagnetic correlations. The physics in the proximity of $(0,\pi )$ is dramatically influenced by $t^{\prime }$ and determined by the short range correlations. The effect of $t^{\prime }$ on the low energy ARPES spectra is weak except close to the zone edge. The short range correlations are sufficient to yield a pseudogap signal in the magnetic susceptibility, produce a concomitant gap in the single-particle spectra near $(\pi ,\pi /2)$ but not necessarily at a location in the proximity of Fermi surface.

5 pages, 4 figures

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