1993/10/11 by L. Belkhir, Lotfi Belkhir, Xiaofeng Wu +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Coulomb #Electron #Excited state #Fractional quantum Hall effect #Function (biology) #Ground state #Mathematics #Physics #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum spin Hall effect #Range (aeronautics) #Semiconductor Quantum Structures and Devices #Singlet state #Spin (aerodynamics) #State (computer science) #Wave function #cond-mat
paper · pdf · doi:10.1103/physrevb.48.15245
Latex 13 pages, 3 figures upon request
arxiv created 1993/10/11 · openalex publication_date 1993/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We provide numerical evidence that the ground state of a short-range-interaction model at \ensuremathν=1/2 is incompressible and spin singlet for a wide range of repulsive interactions. Furthermore it is accurately described by a trial wave function studied earlier. For the Coulomb interaction we find that this wave function provides a good description of the lowest-lying spin-singlet state, and propose that fractional quantum Hall effect would occur at \ensuremathν=1/2 if this state became the global ground state. Some conclusions of an earlier paper are invalidated by the present numerical study of a larger system; these will be indicated.