Exact Ground State of the 2D Hubbard Model at Half Filling for $U=0^{+}$

Michele Cini; Gianluca Stefanucci

doi:10.1016/S0038-1098(00)00504-4

paper

Exact Ground State of the 2D Hubbard Model at Half Filling for $U = 0^{+}$

arXiv:cond-mat/0007020 · doi:10.1016/S0038-1098(00)00504-4

Abstract

We solve analytically the $N \times N$ square lattice Hubbard model for even $N$ at half filling and weak coupling by a new approach. The exact ground state wave function provides an intriguing and appealing picture of the antiferromagnetic order. Like at strong coupling, the ground state has total momentum $K_{t o t} = (0, 0)$ and transforms as an $s$ wave for even $N /2$ and as a $d$ wave otherwise.

4 pages, typos in equation 5 corrected

References in corpus (1)

Canonical Transformation of the Three-Band Hubbard Model and Hole Pairing

Exact Ground State of the 2D Hubbard Model at Half Filling for U=0+

Abstract

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Exact Ground State of the 2D Hubbard Model at Half Filling for $U = 0^{+}$