Abstract
The single-particle spectral functions of the t– t′– t″– J model are exactly calculated for a full range of the Brillouin zone by introducing the twisted boundary conditions for a 20-site cluster. By using the spectral functions, we calculate the optical conductivity σ( ω). In the hole-doped system, σ( ω) shows a good agreement with the exact ones based on the linear response theory. On the contrary, σ( ω) in the electron-doped system disagree with the exact ones. This is due to the presence of strong antiferromagnetic correlations induced by the long-range hopping t′ and t″.
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