International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2489

Full Length Research Paper

Application of density matrix renormalization group to one-dimensional Hubbard model to study strongly correlated electrons system

Olusanmi Ebenezer Odeyemi
  • Olusanmi Ebenezer Odeyemi
  • Department of Physics, Faculty of Science, University of Benin, Benin City, Edo State, Nigeria.
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Akinola Samson Olayinka
  • Akinola Samson Olayinka
  • Department of Physics, Faculty of Science, Edo University Iyamho, Edo State, Nigeria.
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Arthur Imooah Ejere
  • Arthur Imooah Ejere
  • Department of Physics, Faculty of Science, University of Benin, Benin City, Edo State, Nigeria.
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Ikponmwosa Samuel Okunzuwa
  • Ikponmwosa Samuel Okunzuwa
  • Department of Physics, Faculty of Science, University of Benin, Benin City, Edo State, Nigeria.
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Enorense Eddy Aigbekaen
  • Enorense Eddy Aigbekaen
  • Department of Physics, Faculty of Natural and Applied Sciences, Igbinedion University, Okada, Edo State, Nigeria.
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John O.A. Idiodi
  • John O.A. Idiodi
  • Department of Physics, Faculty of Science, University of Benin, Benin City, Edo State, Nigeria.
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  •  Received: 28 October 2018
  •  Accepted: 11 February 2019
  •  Published: 16 June 2019

Abstract

In this work, we applied density matrix renormalization group to one-dimensional Hubbard model at five numbers of sweep to solve strongly correlated interacting electrons system, starting from two electrons on two sites up to ten electrons on ten sites at half filling. The results that emerged from the present study is in agreement with that of exact diagonalization, variational and Lanczos solution at the varying values of the Coulomb interaction strength (U/t) at t=1. The total energy, Eg/t, of the ground state increases with the increase in interaction strength for all the numbers of site, N. The spectra intensity increases with increase in the interaction strength but decreases to zero when the interaction strength is made negatively large. This study is extended to more than two electrons on two sites. We equally show effect of interaction strength, U/t, at t = 1 on the energy-dependent entropy, S.

Key words: Density matrix renormalization group, Hubbard model, sweep, exact diagonalization, variational, Lanczos, entropy.