The Ground and Low Lying Excited States of the Two-Dimensional Hubbard Model

Details The Ground and Low Lying Excited States of the Two-Dimensional Hubbard Model The Ground and Low Lying Excited States of the Two-Dimensional Hubbard Model

1999-04-22

arxiv.org/abs/cond-mat/9904310v1

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex3.0, 4 pages, 4 figures

Scientific paper

We have studied the ground state of the two-dimensional (2D) Hubbard model by using a quantum monte method paying special attention to the shell structure effect on finite size clusters. Our calculations show there is a gap for spin excitations in the ground state and incommensurate peaks at $(\pi \pm \delta, \pi)$ and $(\pi, \pi \pm \delta)$ in the spin correlation function for a low lying excited state. In the ground state, the long range part of the d-wave superconducting correlation function is enhanced and the momentum distribution function at the Fermi level $(\pi,0)$ is rounded. The gap in spin excitations and the momentum distribution function rounding is consistent with opening a d-wave superconducting gap in the ground state.

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