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Hubbard pair cluster in the external fields. Studies of the chemical potential

Author

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  • Balcerzak, T.
  • Szałowski, K.

Abstract

The chemical potential of the two-site Hubbard cluster (pair) embedded in the external electric and magnetic fields is studied by exact diagonalization of the Hamiltonian. The formalism of the grand canonical ensemble is adopted. The influence of temperature, Hubbard on-site Coulombic energy U and electron concentration on the chemical potential is investigated and illustrated in figures. In particular, a discontinuous behaviour of the chemical potential (or electron concentration) in the ground state is discussed.

Suggested Citation

  • Balcerzak, T. & Szałowski, K., 2017. "Hubbard pair cluster in the external fields. Studies of the chemical potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 252-266.
    • Handle: RePEc:eee:phsmap:v:468:y:2017:i:c:p:252-266
    DOI: 10.1016/j.physa.2016.11.004
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    References listed on IDEAS

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    1. F. Mancini & F. P. Mancini, 2009. "Extended Hubbard model in the presence of a magnetic field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 68(3), pages 341-351, April.
    2. Spałek, J. & Oleś, A.M. & Chao, K.A., 1979. "Thermodynamic properties of a two-site Hubbard model with orbital degeneracy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(3), pages 552-564.
    3. Lieb, Elliott H. & Wu, F.Y., 2003. "The one-dimensional Hubbard model: a reminiscence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 1-27.
    4. Hasegawa, Hideo, 2011. "Thermal entanglement of Hubbard dimers in the nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(8), pages 1486-1503.
    5. Hasegawa, Hideo, 2005. "Nonextensive thermodynamics of the two-site Hubbard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 273-293.
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    Cited by:

    1. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the magnetic properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 395-406.
    2. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the polarization and susceptibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1069-1084.
    3. Villegas, Vladimir P. & Villagonzalo, Cristine D., 2022. "Refrigeration using magnetocaloric and electrocaloric effects in a Fermi–Hubbard optical dimer exposed to a heat bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).

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    1. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the magnetic properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 395-406.
    2. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the polarization and susceptibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1069-1084.
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