The spectrum of the two-dimensional Hubbard model at low filling

Author： Bruus H.   Anglès d'Auriac J.-C.  

Publisher： Edp Sciences

E-ISSN： 1286-4854|35|5|321-326

ISSN： 0295-5075

Source： EPL (EUROPHYSICS LETTERS), Vol.35, Iss.5, 2010-03, pp. : 321-326

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Abstract

The entire energy spectrum is calculated numerically for thetwo-dimensional Hubbard model on square lattices with four electronsvarying the interaction strength U in a wide range. Taking all symmetries explicitly into account a level statisticalanalysis is performed on this strongly correlated 2D system. The levelspacing distribution and the number variance exhibit a random matrix(GOE) behavior for all positive values of U, the latterhowever only up to a medium energy scale $\lambda^* \approx 3$independent of U.

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