Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-10-31
Physica Scripta 78 (2008) 025701
Physics
Condensed Matter
Statistical Mechanics
10 pages, 5 figures; IOP Publishing
Scientific paper
An exact analytical diagonalization is used to solve the two dimensional Extended Hubbard Model for system with finite size. We have considered an Extended Hubbard Model (EHM) including on-site and off-site interactions with interaction energy U and V respectively, for square lattice containing 4*4 sites at one-eighth filling with periodic boundary conditions, recently treated by Kovacs et al [1]. Taking into account the symmetry properties of this square lattice and using a translation linear operator, we have constructed a r-space basis, only, with 85 state-vectors which describe all possible distributions for four electrons in the 4*4 square lattice. The diagonalization of the 85*85 matrix energy allows us to study the local properties of the above system as function of the on-site and off-site interactions energies, where, we have shown that the off-site interaction encourages the existence of the double occupancies at the first exited state and induces supplementary conductivity of the system.
Bennai Mohamed
Boughaleb Y.
Harir S.
No associations
LandOfFree
An exact solution to the Extended Hubbard Model in 2D for finite size system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An exact solution to the Extended Hubbard Model in 2D for finite size system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An exact solution to the Extended Hubbard Model in 2D for finite size system will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-466937