Journal
JOURNAL OF CONTEMPORARY PHYSICS-ARMENIAN ACADEMY OF SCIENCES
Volume 45, Issue 2, Pages 70-76Publisher
ALLERTON PRESS INC
DOI: 10.3103/S1068337210020040
Keywords
two-dimensional electron system; spin edge state; spin-orbit interaction; confining potential; quantizing magnetic field
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Funding
- Volkswagen Foundation
- EU [PIIF-GA-2009-235394]
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We consider the spin edge states, induced by the combined effect of spin-orbit interaction and hard-wall confining potential, in a two-dimensional electron system exposed to a perpendicular quantizing magnetic field. We derive an exact analytical formula for the dispersion relations of spin edge states and analyze their energy spectrum, velocity, and average transverse position. It is shown that by removing the spin degeneracy, spin-orbit interaction splits the spin edge states not only in the energy but also induces their spatial separation. It is revealed that at low magnetic fields, due to the Stark splitting of the spin-resolved edge states, the high-energy bands exhibit anti-crossings. This results in an additional structure in the behavior of the velocity of current-carrying edge states.
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