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

Abstract

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 $\nu$ 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 $\nu$ across the compressible stripes.The many-particle interactions follow a behaviour 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 non-equilibrium network model (NNM) that handles the lateral distribution of the experimentally injected non-equilibrium chemical potentials $\mu$.

10 pages with 8 figures, plus 4 additional pages of supplementary material and 5 figures

References in corpus (10)

• Critical exponent for the quantum Hall transition
• Collapse of Spin-Splitting in the Quantum Hall Effect
• Universal Prefactor of Activated Conductivity in the Quantum Hall Effect
• Imaging the Conductance of Integer and Fractional Quantum Hall Edge States
• Robust Nodal Structure of Landau Level Wave Functions Revealed by Fourier Transform Scanning Tunneling Spectroscopy
• Model for Dissipative Conductance in Fractional Quantum Hall States
• Compressibility stripes for mesoscopic quantum Hall samples
• Exchange-mediated dynamic screening in the integer quantum Hall regime
• Microscopic Details of the Integer Quantum Hall Effect in an Anti-Hall Bar
• Enhancement mechanism of the electron g-factor in quantum point contacts

Cited by in corpus (6)

• Mapping quantum Hall edge states in graphene by scanning tunneling microscopy
• Microscopic details of stripes and bubbles in the quantum Hall regime
• Thermal Activation Signatures of the Anderson Insulator and the Wigner Solid forming near $\nu =1$
• Density Dependence of the Phases of the $\nu =1$ Integer Quantum Hall Plateau in Low Disorder Electron Gases
• The microscopic picture of the integer quantum Hall regime
• Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics