Physics – Condensed Matter
Scientific paper
1994-06-03
Physics
Condensed Matter
RevTex 41 pages; 3 Postscript figure on request; Final version accepted for publication in Phys. Rev. B. A new section added c
Scientific paper
10.1103/PhysRevB.51.7123
We develop a new approach to carrier transport between the edge states via resonant scattering on impurities, which is applicable both for short and long range impurities. A detailed analysis of resonant scattering on a single impurity is performed. The results are used for study of the inter-edge transport by multiple resonant hopping via different impurities' sites. It is shown that the total conductance can be found from an effective Schroedinger equation with constant diagonal matrix elements in the Hamiltonian, where the complex non-diagonal matrix elements are the amplitudes of a carrier hopping between different impurities. It is explicitly demonstrated how the complex phase leads to Aharonov-Bohm oscillations in the total conductance. Neglecting the contribution of self-crossing resonant-percolation trajectories, one finds that the inter-edge carrier transport is similar to propagation in one-dimensional system with off-diagonal disorder. We demonstrated that each Landau band has an extended state $\bar E_N$, while all other states are localized. The localization length behaves as $L_N^{-1}(E)\sim (E-\bar E_N)^2$.
No associations
LandOfFree
Resonant scattering on impurities in the Quantum Hall Effect 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 Resonant scattering on impurities in the Quantum Hall Effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonant scattering on impurities in the Quantum Hall Effect will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-606028