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Abstract
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Article Information:
Exact Diagonalization of the Hubbard Model: Ten-electrons on Ten-sites
Onaiwu N. Kingsley and Okanigbuan Robinson
Corresponding Author: Onaiwu N. Kingsley
Submitted: March 09, 2013
Accepted: April 17, 2013
Published: November 20, 2013 |
Abstract:
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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.
Key words: Exact-diagonalization, hamiltonian, hubbard model, sparse matrix, spin flip, ,
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Cite this Reference:
Onaiwu N. Kingsley and Okanigbuan Robinson, . Exact Diagonalization of the Hubbard Model: Ten-electrons on Ten-sites. Research Journal of Applied Sciences, Engineering and Technology, (21): 4098-4102.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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