Cluster expansion of the Hubbard model energy of acyclic conjugated hydrocarbons

1991 ◽  
Vol 94 (2) ◽  
pp. 1191-1195 ◽  
Author(s):  
T. G. Schmalz
Keyword(s):  
Hubbard Model ◽  
Cluster Expansion ◽  
Conjugated Hydrocarbons

U=∞ HUBBARD MODEL: TOWARDS THE EXACT SOLUTION IN d=∞

1989 ◽  
Vol 03 (12) ◽  
pp. 2149-2157
Author(s):  
Václav Janiš
Keyword(s):  
Field Theory ◽  
Exact Solution ◽  
External Field ◽  
Integral Representation ◽  
Hubbard Model ◽  
Cluster Expansion ◽  
Degrees Of Freedom ◽  
Exact Expression ◽  
Inhomogeneous Field ◽  
Quartic Interaction

We investigate the U=∞ Hubbard model. Using a Grassmann-integral representation, we transform this model to a Grassmann field theory with two degrees of freedom per site and with a local quartic interaction. An external inhomogeneous field is introduced so that the linked-cluster expansion be applicable. All 1-loop contributions from this expansion are summed up and an exact expression for the inhomogeneous grandcanonical potential dependent on the auxiliary external field in d=∞ is found.

Linked‐cluster expansion for the single‐band Hubbard model

1991 ◽  
Vol 69 (8) ◽  
pp. 4656-4658 ◽  
Author(s):  
Kok‐Kwei Pan ◽  
Yung‐Li Wang
Keyword(s):  
Hubbard Model ◽  
Cluster Expansion ◽  
Single Band
Sign in / Sign up

Export Citation Format

Share Document