Kohn-Sham Theory of the Fractional Quantum Hall Effect
arXiv:1907.06428 · doi:10.1103/PhysRevLett.123.176802
Abstract
We formulate the Kohn-Sham equations for the fractional quantum Hall effect by mapping the original electron problem into an auxiliary problem of composite fermions that experience a density dependent effective magnetic field. Self-consistent solutions of the KS equations demonstrate that our formulation captures not only configurations with non-uniform densities but also topological properties such as fractional charge and fractional braid statistics for the quasiparticles excitations. This method should enable a realistic modeling of the edge structure, the effect of disorder, spin physics, screening, and of fractional quantum Hall effect in mesoscopic devices.
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- Crystalline Solutions of Kohn-Sham Equations in the Fractional Quantum Hall Regime
- Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter