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

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
T. Tohyama ◽  
Y. Inoue ◽  
K. Tsutsui ◽  
S. Maekawa
Keyword(s):  
Hubbard Model ◽  
Optical Conductivity ◽  
Exact Diagonalization ◽  
Two Dimensional

SINGLE-PARTICLE AND OPTICAL EXCITATIONS IN DOPED MOTT- HUBBARD INSULATORS

1992 ◽  
Vol 06 (05n06) ◽  
pp. 589-602 ◽  
Author(s):  
WALTER STEPHAN ◽  
PETER HORSCH
Keyword(s):  
Optical Properties ◽  
Band Structure ◽  
Fermi Surface ◽  
Copper Oxide ◽  
Hubbard Model ◽  
Optical Conductivity ◽  
Single Particle ◽  
Oxide Superconductors ◽  
Two Dimensional ◽  
Copper Oxide Superconductors

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.

Finite-Temperature Optical Conductivity of the Two-Dimensional Hubbard Model

1994 ◽  
Vol 22 (3) ◽  
pp. 273-276 ◽  
Author(s):  
Wen-Zhu Li ◽  
Feng Chen ◽  
Tie-feng Xu ◽  
He-ping Ying
Keyword(s):  
Hubbard Model ◽  
Optical Conductivity ◽  
Finite Temperature ◽  
Two Dimensional

PRELIMINARY GROUP ANALYSIS OF A 4 X 4 TWO DIMENSIONAL HUBBARD MODEL

1989 ◽  
Vol 03 (12) ◽  
pp. 1845-1852 ◽  
Author(s):  
G. Fano ◽  
F. Ortolani ◽  
F. Semeria
Keyword(s):  
Hubbard Model ◽  
Symmetry Group ◽  
High Speed ◽  
Group Analysis ◽  
Finite Size ◽  
Exact Diagonalization ◽  
Two Dimensional ◽  
Spatial Symmetry ◽  
Preliminary Group

A finite size two-dimensional Hubbard model is considered; it is shown that the consideration of the spatial symmetry group of the Hamiltonian reduces the dimension of the problem of two orders of magnitude in the case of a 4 X 4 lattice. Exact diagonalization of the Hamiltonian can then be performed with the aid of modern high-speed computers.

Pairing in the two-dimensional Hubbard model: An exact diagonalization study

1988 ◽  
Vol 37 (13) ◽  
pp. 7359-7367 ◽  
Author(s):  
H. Q. Lin ◽  
J. E. Hirsch ◽  
D. J. Scalapino
Keyword(s):  
Hubbard Model ◽  
Exact Diagonalization ◽  
Two Dimensional
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