Weak coupling analysis of the optical conductivity of the two dimensional Hubbard model

1992 ◽  
Vol 89 (2) ◽  
pp. 187-194 ◽  
Author(s):  
W. Brenig
1992 ◽  
Vol 06 (05n06) ◽  
pp. 589-602 ◽  
Author(s):  
WALTER STEPHAN ◽  
PETER HORSCH

Recent numerical results for the single-particle spectral function and optical conductivity of the two-dimensional Hubbard and t−J models are reviewed. Already for two holes in systems of sixteen to twenty sites (≥ 10% doping) a large electronic Fermi surface, compatible with Luttinger’s theorem, is observed. The full single-particle Green’s function is examined, and is shown to exhibit quasiparticle-like behavior, with dispersion consistent with the band structure of the non-interacting limit, and band width scaling approximately as J for J smaller than t. The optical conductivity of the Hubbard and t−J models is shown to have many features in common with recent experiments on copper oxide superconductors. The importance of the often neglected 3-site terms which arise in the derivation of the t−J model from the Hubbard model for optical properties is discussed.


1994 ◽  
Vol 22 (3) ◽  
pp. 273-276 ◽  
Author(s):  
Wen-Zhu Li ◽  
Feng Chen ◽  
Tie-feng Xu ◽  
He-ping Ying

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