Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2000-07-03
Solid State Communication 117, 451 (2001)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, typos in equation 5 corrected
Scientific paper
10.1016/S0038-1098(00)00504-4
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 $K_{tot}=(0,0)$ and transforms as an $s$ wave for even $N/2$ and as a $d$ wave otherwise.
Cini Michele
Stefanucci Gianluca
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