# Manifestation of many-body interactions in the integer quantum Hall effect regime

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**Manifestation of many-body interactions in the integer quantum Hall effect regime.** / Oswald, Josef; Römer, Rudolf A.

Publikationen: Beitrag in Fachzeitschrift › Artikel › Forschung › (peer-reviewed)

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*Physical review : B, Condensed matter and materials physics*, Jg. 96.2017, Nr. 12, 125128. https://doi.org/10.1103/PhysRevB.96.125128

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*Physical review : B, Condensed matter and materials physics*,

*96.2017*(12), [125128]. https://doi.org/10.1103/PhysRevB.96.125128

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TY - JOUR

T1 - Manifestation of many-body interactions in the integer quantum Hall effect regime

AU - Oswald, Josef

AU - Römer, Rudolf A.

PY - 2017/9/18

Y1 - 2017/9/18

N2 - We use the self-consistent Hartree-Fock approximation for numerically addressing the integer quantum Hall (IQH) regime in terms of many-body physics at higher Landau levels (LL). The results exhibit a strong tendency to avoid the simultaneous existence of partly filled spin-up and spin-down LLs. Partly filled LLs appear as a mixture of coexisting regions of full and empty LLs. We obtain edge stripes with approximately constant filling factor ν close to half-odd filling at the boundaries between the regions of full and empty LLs, which we explain in terms of the g-factor enhancement as a function of a locally varying ν across the compressible stripes. The many-particle interactions follow a behavior as it would result from applying 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 screening based on a Thomas-Fermi approximation. For addressing carrier transport, we use a nonequilibrium network model (NNM) that handles the lateral distribution of the experimentally injected nonequilibrium chemical potentials

AB - We use the self-consistent Hartree-Fock approximation for numerically addressing the integer quantum Hall (IQH) regime in terms of many-body physics at higher Landau levels (LL). The results exhibit a strong tendency to avoid the simultaneous existence of partly filled spin-up and spin-down LLs. Partly filled LLs appear as a mixture of coexisting regions of full and empty LLs. We obtain edge stripes with approximately constant filling factor ν close to half-odd filling at the boundaries between the regions of full and empty LLs, which we explain in terms of the g-factor enhancement as a function of a locally varying ν across the compressible stripes. The many-particle interactions follow a behavior as it would result from applying 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 screening based on a Thomas-Fermi approximation. For addressing carrier transport, we use a nonequilibrium network model (NNM) that handles the lateral distribution of the experimentally injected nonequilibrium chemical potentials

U2 - 10.1103/PhysRevB.96.125128

DO - 10.1103/PhysRevB.96.125128

M3 - Article

VL - 96.2017

JO - Physical review : B, Condensed matter and materials physics

JF - Physical review : B, Condensed matter and materials physics

SN - 0163-1829

IS - 12

M1 - 125128

ER -