Electron correlation effects in a wide channel from the $ν=1$ quantum Hall edge states

Details Electron correlation effects in a wide channel from the $ν=1$ quantum Hall edge states Electron correlation effects in a wide channel from the $ν=1$ quantum Hall edge states

2001-04-06

arxiv.org/abs/cond-mat/0104105v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 4 figures

Scientific paper

10.1103/PhysRevB.64.115309

The spatial behavior of Landau levels (LLs) for the $nu=1$ quantum Hall regime at the edge of a wide channel is studied in a self-consistent way by using a generalized local density approximation proposed here. Both exchange interaction and strong electron correlations, due to edge states, are taken into account. They essentially modify the spatial behavior of the occupied lowest spin-up LL in comparison with that of the lowest spin-down LL, which is totally empty. The contrast in the spatial behavior can be attributed to a different effective one-electron lateral confining potentials for the spin-split LLs. Many-body effects on the spatially inhomogeneous spin-splitting are calculated within the screened Hartree-Fock approximation. It is shown that, far from the edges, the maximum activation energy is dominated by the gap between the Fermi level and the bottom of the spin-down LL, because the gap between the Fermi level and the spin-up LL is much larger. In other words, the maximum activation energy in the bulk of the channel corresponds to a highly asymmetric position of the Fermi level within the gap between spin-down and spin-up LLs in the bulk. We have also studied the renormalization of the edge-state group velocity due to electron correlations. The results of the present theory are in line with those suggested and reported by experiments on high quality samples.

Affiliated with

Also associated with

No associations

Rating

Electron correlation effects in a wide channel from the $ν=1$ quantum Hall edge states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Electron correlation effects in a wide channel from the $ν=1$ quantum Hall edge states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electron correlation effects in a wide channel from the $ν=1$ quantum Hall edge states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201183