An exact solution to the problem of spin edge states

ORAL

Abstract

We study the spin edge states, induced by the combined effect of spin-orbit interaction SOI and hard-wall confining potential, in a two-dimensional electron system, exposed to a perpendicular magnetic field. We find an exact solution of the problem and show that the spin-resolved edge states are separated in space. The SOI-generated rearrangement of the spectrum results in a peaked behavior of the net-spin current versus the Fermi energy. The predicted oscillations of the spin current with a period, determined by the SOI-renormalized cyclotron energy, can serve as an effective tool for controlling the spin motion in spintronic devices.

*We acknowledge support from EU under Grant No. PIIF-GA-2009-235394 and ANSEF under Grant No. PS-1576.

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Authors

  • Samvel Badalyan

    • Department of Physics, University of Regensburg, 93040 Regensburg, Germany and Department of Radiophysics, Yerevan State University, Armenia

  • Vahram Grigoryan

    • Department of Radiophysics, Yerevan State University, 1 A. Manoukian Street, 375025 Yerevan, Armenia

  • Alex Matos Abiague

    • Department of Physics, University of Regensburg, 93040 Regensburg, Germany