Oswald, Josef and Römer, Rudolf A. (2017) Exchange-mediated dynamic screening in the integer quantum Hall regime. Europhysics Letters, 117 (5). 57009. doi:10.1209/0295-5075/117/57009

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Abstract

We study many-body interaction effects in the spatially-resolved filling factor (ν) distribution for higher Landau levels (LLs) via self-consistent Hartree-Fock simulations in the integer quantum Hall (IQH) regime. Our results indicate a strong, interaction-induced tendency to avoid the simultaneous existence of partially filled spin-up and spin-down LLs. Rather, we find that such partially filled LLs consist of coexisting regions of full and empty LLs. At the boundaries between the regions of full and empty LLs, we observe edge stripes of nearly constant ν close to half filling. This suggests that the exchange interaction induces a behavior similar to a Hund’s rule for the occupation of the spin split LLs. The screening of the disorder and edge potential appears significantly reduced as compared to static Thomas-Fermi screening [1]. Our results are consistent with a local, lateral ν dependence of the exchange-enhanced spin splitting. Hence, on quantum-coherent length scales as probed here, the electron system of the IQH effect behaves similar to a non-interacting single particle system — not because of the absence, but rather due to the dominance of many-body effects.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Quantum Hall effect, Electrons, Magnetic fields, Quantum field theory, Electron transport, Mesoscopic phenomena (Physics)
Journal or Publication Title:	Europhysics Letters
Publisher:	EDP Sciences
ISSN:	0295-5075
Official Date:	10 May 2017
Dates:	Date Event 10 May 2017 Published 12 April 2017 Accepted
Volume:	117
Number:	5
Article Number:	57009
DOI:	10.1209/0295-5075/117/57009
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID P19353-N16 Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung http://dx.doi.org/10.13039/501100001711 EP/J003476/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266 EP/K000128/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266
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