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Edge Mode Waves in Superlattices in Quantum Hall Effect Regime
Author(s) -
Perez P.F.,
Montes de Oca A.C.,
Castellanos C.R.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200007)220:1<753::aid-pssb753>3.0.co;2-h
Subject(s) - superlattice , physics , condensed matter physics , dispersion relation , wave vector , boundary value problem , superconductivity , quantum hall effect , enhanced data rates for gsm evolution , quantum electrodynamics , magnetic field , quantum mechanics , telecommunications , computer science
The wave propagation of edge modes in a superlattice of 2D electron gases in the quantum Hall regime is investigated. After introducing surface charges 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 < k are also obtained for all the directions of the wavevector within the border surface. For propagation along the planes, the modes have no dispersion as expected from the literature. The static limit solutions complete the definition at the boundary of the formerly determined interior field configurations showing a Meissner‐like effect. The results underline that various of the current theoretical approaches to edge excitations could be appropriate for superlattice structures but can fail to describe standard planar samples.