Hole Pockets in the Doped 2D Hubbard Model

Abstract

The electronic momentum distribution $\mathrm{n}(\mathbf{k})$ of the two dimensional Hubbard model is studied for different values of the coupling $U/t$, electronic density $⟨\mathrm{n}⟩$, and temperature, using quantum Monte Carlo techniques. A detailed analysis of the data on $8\times 8$ clusters shows that features consistent with hole pockets at momenta $\mathbf{k}=(\pm \frac{\pi }{2},\pm \frac{\pi }{2})$ appear as the system is doped away from half-filling. Our results are consistent with recent experimental data for the cuprates discussed by Aebi et al. (Phys. Rev. Lett. {\bf 72}, 2757 (1994)). In the range of couplings studied, the depth of the pockets is maximum at $⟨\mathrm{n}⟩\approx 0.9$, and it increases with decreasing temperature. The apparent absence of hole pockets in previous numerical studies of this model is explained.

11 pages, 4 postscript figures appended, RevTeX (version 3.0)

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