Optical conductivity of the Hubbard model at finite temperature

Details Optical conductivity of the Hubbard model at finite temperature Optical conductivity of the Hubbard model at finite temperature

1994-01-26

arxiv.org/abs/cond-mat/9401060v1

Physics

Condensed Matter

12 pages, 3 figures appended, Revtex version 2.0, preprint

Scientific paper

10.1103/PhysRevB.50.452

The optical conductivity, $\sigma(\omega)$, of the two dimensional one-band Hubbard model is calculated at finite temperature using exact diagonalization techniques on finite clusters. The in-plane d.c. resistivity, $\rho_{ab}$, is also evaluated. We find that at large U/t and temperature T, $\rho_{ab}$ is approximately linear with temperature, in reasonable agreement with experiments on high-T$_c$ superconductors. Moreover, we note that $\sigma(\omega)$ displays charge excitations, a mid-infrared (MIR) band and a Drude peak, also as observed experimentally. The combination of the Drude peak and the MIR oscillator strengths leads to a conductivity that decays slower than $1/\omega^2$ at energies smaller than the insulator gap near half-filling.

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