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2013 (Vol. 6, Issue: 21)
Article Information:

Exact Diagonalization of the Hubbard Model: Ten-electrons on Ten-sites

Onaiwu N. Kingsley and Okanigbuan Robinson
Corresponding Author:  Onaiwu N. Kingsley 

Key words:  Exact-diagonalization, hamiltonian, hubbard model, sparse matrix, spin flip, ,
Vol. 6 , (21): 4098-4102
Submitted Accepted Published
March 09, 2013 April 17, 2013 November 20, 2013
Abstract:

By exactly diagonalizing the Hubbard model for ten electrons on ten sites in a one-Dimensional (1D) ring, we extend the study of Jafari (2008) to more than two electrons on two sites. We equally show the sparsity patterns of the Hamiltonian matrices for four- and eight-site problems and obtain the ground state energy eigenvalues for ten electrons on ten-sites. The technique we employ will be a good guide to a beginner/programmer.
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  Cite this Reference:
Onaiwu N. Kingsley and Okanigbuan Robinson, 2013. Exact Diagonalization of the Hubbard Model: Ten-electrons on Ten-sites.  Research Journal of Applied Sciences, Engineering and Technology, 6(21): 4098-4102.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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