Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect. (14th November 2017)

• Record Type: Journal Article
• Authors: Miravet, D.; Ferreira, G. J.; Proetto, C. R.
• Is Part Of: Europhysics letters. Volume 119:Number 5(2017:Sep.)
• Publication Date: 2017-11-14
• Subjects: 71.15.Mb -- 73.43.-f -- 73.21.Fg; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/119/57001
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: It is shown here that the exact-exchange (EE) formalism provides a natural and rigorous approach for a density functional theory (DFT) of the integer quantum Hall effect (IQHE). Application of a novel EE method to a quasi–two-dimensional electron gas (q2DEG) subjected to a perpendicular magnetic field leads to the following main findings. i) the microscopic exchange energy functional of the IQHE has been obtained, whose main feature being that it minimizes with a discontinuous derivative at every integer filling factor ν ; ii) an analytical solution is found for the magnetic-field dependent EE potential, in the one-subband regime; iii) as a consequence of i), the EE potential display sharp discontinuities at every integer ν ; and iv) the widely used local spin density approximation (LSDA) is strongly violated for filling factors close to integer values.