KohnSham Theory of the Fractional Quantum Hall Effect
Abstract
We formulate the KohnSham (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. Selfconsistent 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.
 Authors:

 Pennsylvania State Univ., University Park, PA (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 Pennsylvania State Univ., University Park, PA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1606393
 Grant/Contract Number:
 SC0005042
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 123; Journal Issue: 17; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Kohn Sham; Density Functional Theory; composite fermions
Citation Formats
Hu, Yayun, and Jain, J. K. KohnSham Theory of the Fractional Quantum Hall Effect. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.176802.
Hu, Yayun, & Jain, J. K. KohnSham Theory of the Fractional Quantum Hall Effect. United States. https://doi.org/10.1103/PhysRevLett.123.176802
Hu, Yayun, and Jain, J. K. Fri .
"KohnSham Theory of the Fractional Quantum Hall Effect". United States. https://doi.org/10.1103/PhysRevLett.123.176802. https://www.osti.gov/servlets/purl/1606393.
@article{osti_1606393,
title = {KohnSham Theory of the Fractional Quantum Hall Effect},
author = {Hu, Yayun and Jain, J. K.},
abstractNote = {We formulate the KohnSham (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. Selfconsistent 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.},
doi = {10.1103/PhysRevLett.123.176802},
journal = {Physical Review Letters},
number = 17,
volume = 123,
place = {United States},
year = {2019},
month = {10}
}
Web of Science
Figures / Tables:
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Figures / Tables found in this record: