Kohn-Sham Theory of the Fractional Quantum Hall Effect
Strongly Correlated Electrons
2019-10-30 v2
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.
Keywords
Cite
@article{arxiv.1907.06428,
title = {Kohn-Sham Theory of the Fractional Quantum Hall Effect},
author = {Yayun Hu and J. K. Jain},
journal= {arXiv preprint arXiv:1907.06428},
year = {2019}
}