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Grand canonical ensemble of the extended two-site Hubbard model via a nonextensive distribution

Authors :
Reyes Navarro, Felipe
Torres-Tapia, Eusebio
Peña, Pedro
Source :
Journal of Theoretical and Applied Physics; December 2013, Vol. 7 Issue: 1 p1-10, 10p
Publication Year :
2013

Abstract

We hereby introduce a research about a grand canonical ensemble for the extended two-site Hubbard model, that is, we consider the intersite interaction term in addition to those of the simple Hubbard model. To calculate the thermodynamical parameters, we utilize the nonextensive statistical mechanics; specifically, we perform the simulations of magnetic internal energy, specific heat, susceptibility, and thermal mean value of the particle number operator. We found out that the addition of the intersite interaction term provokes a shifting in all the simulated curves. Furthermore, for some values of the on-site Coulombian potential, we realize that, near absolute zero, the consideration of a chemical potential varying with temperature causes a nonzero entropy.

Details

Language :
English
ISSN :
22517227 and 22517235
Volume :
7
Issue :
1
Database :
Supplemental Index
Journal :
Journal of Theoretical and Applied Physics
Publication Type :
Periodical
Accession number :
ejs39092332
Full Text :
https://doi.org/10.1186/2251-7235-7-20