Research Article | OPEN ACCESS
Exact Diagonalization of the Hubbard Model: Ten-electrons on Ten-sites
1Onaiwu N. Kingsley and 2Okanigbuan Robinson
1Physics with Electronics Department, Crawford University, PMB 2001, Igbesa Ogun State, Nigeria
2Physics Department, Ambrose Alli University, Ekpoma Edo State, Nigeria
Research Journal of Applied Sciences, Engineering and Technology 2013 21:4098-4102
Received: March 09, 2013 | Accepted: April 17, 2013 | Published: 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.
Keywords:
Exact-diagonalization, hamiltonian, hubbard model, sparse matrix, spin flip,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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