The exact diagonalization of the extended Hubbard Model: Six Electrons at Half-Filling

This study has used the exact diagonalization technique to examine the Extended Hubbard model.The basis vectors were first generated using binary integers available in matlab,the Hamiltonian matrix were subsequently generated using the basis vectors,after-which the Eigen values of the low and some highest laying states were obtained. The results obtained would serve as a good reference against which other results obtained from other approximation techniques can be compared .

Content

Author and article information

Journal

Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 24 February 2022

Affiliations

[1 ] Department of Physics, Crawford University, Igbesa, Nigeria

Author notes

[* ]Email: e.adesiyan@ 123456yahoo.com .

Author information

Ayomide Emmanuel Adesiyan https://orcid.org/0000-0001-5211-338X

Kingsley Nosa Onaiwu, PhD https://orcid.org/0000-0002-0041-4540

Article

DOI: 10.14293/S2199-1006.1.SOR-.PPUIRHK.v1

SO-VID: f53b8c07-cf4e-4d61-b8c3-495dcc16a1cc

License:

This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

History

Date received : 24 February 2022

Data availability: All data generated or analysed during this study are included in this published article (and its supplementary information files).

ScienceOpen disciplines: Physics,Mathematics,Materials science

Keywords: Extended Hubbard Model,Exact Diagonalization,Hamiltonian,Eigen Values