The space distribution of the Hall current in the two-dimensional system is investigated using the one-electron form of the Kubo linear response theory. The calculation confirms that the quantised Hall current is localised only at edges of the sample when the Fermi energy lies in a gap between Landau levels of the bulk material. Unlike the bulk levels, the edge states are never separated from the Fermi energy by a gap. Therefore, the edge electrons can always respond to the applied external field.
No takes yet. Share an insight, caveat, or question.
L. Smrčka (1984) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: