Kohn-Sham Theory of the Fractional Quantum Hall Effect

Hu, Yayun; Jain, J. K.

doi:10.1103/PhysRevLett.123.176802

Title: Kohn-Sham Theory of the Fractional Quantum Hall Effect

Journal Article · Fri Oct 25 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.123.176802· OSTI ID:1606393

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Pennsylvania State Univ., University Park, PA (United States). Dept. of Physics

We formulate the Kohn-Sham (KS) 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 nonuniform densities but also topological properties such as fractional charge and fractional braid statistics for the quasiparticles excitations. Lastly, 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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Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0005042

OSTI ID:: 1606393

Journal Information:: Physical Review Letters, Vol. 123, Issue 17; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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References (29)

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Title: Kohn-Sham Theory of the Fractional Quantum Hall Effect

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