Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
| Autor: | Cesar Ramon Proetto, Gerson J. Ferreira, D. Miravet |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Ciencias Físicas
General Physics and Astronomy FOS: Physical sciences Classification of discontinuities Quantum Hall effect 01 natural sciences 010305 fluids & plasmas purl.org/becyt/ford/1 [https] Integer Hall effect Quantum mechanics 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) DENSITY FUNCTIONAL THEORY 010306 general physics Physics Condensed Matter - Mesoscale and Nanoscale Physics Filling factor Exchange interaction purl.org/becyt/ford/1.3 [https] Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Astronomía EXACT EXCHANGE HALL EFFECT Density functional theory Fermi gas CIENCIAS NATURALES Y EXACTAS |
| Zdroj: | CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| Popis: | 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. Fil: Miravet Martinez, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina Fil: Ferreira, G. J.. Universidade Federal de Uberlândia; Brasil Fil: Proetto, Cesar Ramon. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina |
| Databáze: | OpenAIRE |
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