Density Functional Theory of the Abelian Anyon Gas

ORAL

Abstract

A Kohn-Sham density functional theory of composite fermions takes into account the flux attached to composite fermions in a self-consistent fashion [1]. We extend this method to treat a system of many anyons. We construct a series of states that do not involve the center of mass excitations, and explore behavior in the vicinity of the fermionic statistics. We compare the energy obtained from our DFT calculation with exact energies known for small systems and find a qualitative and semi-quantitative agreement. Our method provides an understanding of the existing exact result and also a self-consistent way to calculate the ground state properties of the anyon gas in the thermodynamic limit.

[1] Yayun Hu and J. K. Jain, Phys. Rev. Lett. 123, 176802(2019)

*This work is supported in part by DOE under Grant no. DE-SC0005042 and by the China Scholarship Council.

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Presenters

  • Yayun Hu

    • Pennsylvania State University

Authors

  • Yayun Hu

    • Pennsylvania State University

  • Ganpathy Murthy

    • Univ of Kentucky
    • Department of Physics and Astronomy, University of Kentucky

  • Sumathi Rao

    • Harish-Chandra Research Institute, Homi Bhabha National Institute
    • Harish-Chandra research Institute

  • Jainendra Jain

    • Pennsylvania State University
    • Department of Physics, Pennsylvania State University