Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-01-30
J. Phys. Soc. Jpn. 76 (2007) 034705
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages with 10 figures and 1 table. accepted in J. Phys. Soc. Jpn
Scientific paper
10.1143/JPSJ.76.034705
The Drude weight of the Hubbard model on the two-dimensional square lattice is studied by the exact diagonalizations applied to clusters up to 20 sites. We carefully examine finite-size effects by consideration of the appropriate shapes of clusters and the appropriate boundary condition beyond the imitation of employing only the simple periodic boundary condition. We successfully capture the behavior of the Drude weight that is proportional to the squared hole doping concentration. Our present result gives a consistent understanding of the transition between the Mott insulator and doped metals. We also find, in the frequency dependence of the optical conductivity, that the mid-gap incoherent part emerges more quickly than the coherent part and rather insensitive to the doping concentration in accordance with the scaling of the Drude weight.
Imada Masatoshi
Nakano Hiroki
Takahashi Yoshinori
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