2020/10/31 by Abhishek Anand, J. K. Jain, Jainendra K Jain +2 · 6 citations
Mathematics · Physics and Astronomy · #Charge (physics) #Coulomb #Cyclotron #Electron #Excited state #Field (mathematics) #Fractional quantum Hall effect #Landau quantization #Magnetic field #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Range (aeronautics) #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.126.136601
published in Physical Review Letters 126(13), 136601 (American Physical Society)
arxiv created 2021/03/21 · openalex publication_date 2021/03/29 · arxiv updated 2022/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
States of strongly interacting particles are of fundamental interest in physics, and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the standard practice of restricting to the lowest LL, introduce a model short-range interaction that is infinitely strong compared to the cyclotron energy. We demonstrate that this model lends itself to an exact solution for the ground as well as excited states at arbitrary filling factors ν<1/2p and produces a fractional quantum Hall effect at fractions of the form ν=n/(2pn+ 1), where n and p are integers. The fractional quantum Hall states of our model share many topological properties with the corresponding Coulomb ground states in the lowest Landau level, such as the edge physics and the fractional charge of the excitations.