Optical Conductivity of the Two-Dimensional Hubbard Model

Details Optical Conductivity of the Two-Dimensional Hubbard Model Optical Conductivity of the Two-Dimensional Hubbard Model

1999-02-17

arxiv.org/abs/cond-mat/9902235v1

Physics

Condensed Matter

4 pages LaTeX including 2 PS figures, to appear in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.68.1458

Charge dynamics of the two-dimensional Hubbard model is investigated. Lancz$\ddot{\rm o}$s-diagonalization results for the optical conductivity and the Drude weight of this model are presented. Near the Mott transition, large incoherence below the upper-Hubbard band is obtained together with a remarkably suppressed Drude weight in two dimensions while the clearly coherent character is shown in one dimension. The two-dimensional results are consistent with previous results from quantum Monte Carlo calculations indicating that the Mott transition in this two-dimensional model belongs to the universality class characterized by the dynamical exponent of $z=4$.

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