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

1999/04/22 by Yoshihiro ASAI, ASAI, Yoshihiro
Physics and Astronomy · #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/9904310

RevTex3.0, 4 pages, 4 figures

arxiv created 1999/04/22 · arxiv updated 2009/11/30

Abstract

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 (π± δ, π) and (π, π± δ) 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 (π,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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