Exact diagonalization study of optical conductivity in two-dimensional Hubbard model

Details Exact diagonalization study of optical conductivity in two-dimensional Hubbard model Exact diagonalization study of optical conductivity in two-dimensional Hubbard model

2005-05-17

arxiv.org/abs/cond-mat/0505404v2

Phys. Rev. B 72, 045113 (2005) (5 pages)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures

Scientific paper

10.1103/PhysRevB.72.045113

The optical conductivity \sigma(\omega) in the two-dimensional Hubbard model is examined by applying the exact diagonalization technique to small square clusters with periodic boundary conditions up to \sqrt{20} X \sqrt{20} sites. Spectral-weight distributions at half filling and their doping dependence in the 20-site cluster are found to be similar to those in a \sqrt{18} X \sqrt{18} cluster, but different from 4 X 4 results. The results for the 20-site cluster enable us to perform a systematic study of the doping dependence of the spectral-weight transfer from the region of the Mott-gap excitation to lower-energy regions. We discuss the dependence of the Drude weight and the effective carrier number on the electron density at a large on-site Coulomb interaction.

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