Edge Modes Waves in Superlattices in Quantum Hall Effect Regime

Details Edge Modes Waves in Superlattices in Quantum Hall Effect Regime Edge Modes Waves in Superlattices in Quantum Hall Effect Regime

1999-09-07

arxiv.org/abs/cond-mat/9909096v2

Phys.StatusSolidiB220:753,2000

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages,a correction of an error in the determination of the dispersion relation was introduced

Scientific paper

The wave propagation of edge modes in a superlattice of 2D electron Gases in quantum Hall regime is investigated. After introducing surfaces charge and current densities at the edge, the Maxwell equations are solved for waves running along the boundary. The constitutive relations expressing the edge charge and current densities in terms of the fields at the boundary are derived. One of them is similar to the London equation for superconductor currents. The dispersion relation and wave polarizations for the momenta region $w/c

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