Artículo
Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
Fecha de publicación:
14/11/2017
Editorial:
IOP Publishing
Revista:
A Letters Journal Exploring the Frontiers of Physics
ISSN:
0295-5075
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Exact Exchange
,
Density Functional Theory
,
Hall Effect
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Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Miravet Martinez, Daniel; Ferreira, G. J.; Proetto, Cesar Ramon; Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect; IOP Publishing; A Letters Journal Exploring the Frontiers of Physics; 119; 5; 14-11-2017; 57001/1-57001/8
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