Cluster approach to the extended Hubbard model

1981 ◽  
Vol 24 (2) ◽  
pp. 1111-1119 ◽  
Author(s):  
W. N. Mei ◽  
Y. C. Lee
1995 ◽  
Vol 09 (11) ◽  
pp. 1375-1386 ◽  
Author(s):  
MARIO RASETTI ◽  
PAOLO ZANARDI

A two-step linearization scheme is proposed to approach the 2D extended Hubbard model: (i) by a chain-cluster linearization, the model is first mapped onto a self-consistent 1D problem for a modified extended Hubbard model; (ii) a further linearization is then performed in the proximity of the U(2|2)-supersymmetric model introduced by Essler, Korepin and Schoutens (EKS). The resulting Hamiltonian is shown to be equivalent to a 1D EKS Hamiltonian whose coefficients have to be determined self-consistently. The self-consistency equations can be obtained thanks to the exact solvability of the EKS model.


1995 ◽  
Vol 64 (3) ◽  
pp. 922-926 ◽  
Author(s):  
Hiroki Tsuchiura ◽  
Yukio Tanaka ◽  
Yasunari Ushijima

1995 ◽  
Vol 51 (19) ◽  
pp. 13774-13777 ◽  
Author(s):  
A. A. Aligia ◽  
Liliana Arrachea ◽  
E. R. Gagliano

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