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Waterlike density anomaly in fermions

Author

Listed:
  • Habitzreuter, Marco A.
  • Rizzatti, Eduardo O.
  • Barbosa, Marcia C.

Abstract

In this work we explore the one-dimensional extended Hubbard model as a fluid system modeling liquid phases of different densities. This model naturally displays two length scales of interaction, which are connected with waterlike anomalies. We analyze the density anomaly as a function of the model parameters, namely the hopping, on-site and first neighbor interactions. We show that this anomaly is present for a wide range of model parameters and is connected to a ground-state liquid–liquid critical point.

Suggested Citation

  • Habitzreuter, Marco A. & Rizzatti, Eduardo O. & Barbosa, Marcia C., 2023. "Waterlike density anomaly in fermions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    • Handle: RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123007975
    DOI: 10.1016/j.physa.2023.129242
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    References listed on IDEAS

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    1. F. Mancini, 2005. "The extended Hubbard model in the ionic limit," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(4), pages 527-540, October.
    2. Buldyrev, S.V. & Franzese, G. & Giovambattista, N. & Malescio, G. & Sadr-Lahijany, M.R. & Scala, A. & Skibinsky, A. & Stanley, H.E., 2002. "Models for a liquid–liquid phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 304(1), pages 23-42.
    3. Giancarlo Franzese & Gianpietro Malescio & Anna Skibinsky & Sergey V. Buldyrev & H. Eugene Stanley, 2001. "Generic mechanism for generating a liquid–liquid phase transition," Nature, Nature, vol. 409(6821), pages 692-695, February.
    4. Rizzatti, Eduardo Osório & Gomes Filho, Márcio Sampaio & Malard, Mariana & Barbosa, Marco Aurélio A., 2019. "Waterlike anomalies in the Bose–Hubbard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 323-330.
    5. Markus Greiner & Cindy A. Regal & Deborah S. Jin, 2003. "Emergence of a molecular Bose–Einstein condensate from a Fermi gas," Nature, Nature, vol. 426(6966), pages 537-540, December.
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