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Spin hall edge spin polarization in a ballistic 2D electron system
V A Zyuzin1, P G Silvestrov, E G Mishchenko
1Department of Physics, University of Utah, Salt Lake City, Utah 84112, USA.
Physical Review Letters
|October 13, 2007
Summary
Universal properties of the spin Hall effect in 2D electron systems were studied. Spin polarization at the conductor edge is second-order in spin-orbit coupling, independent of boundary potential details.
Area of Science:
- Condensed Matter Physics
- Spintronics
- Mesoscopic Physics
Background:
- The spin Hall effect (SHE) is a key phenomenon in spintronics.
- Understanding SHE in ballistic 2D electron systems is crucial for device applications.
- The influence of boundary conditions on SHE is not fully understood.
Purpose of the Study:
- To investigate universal properties of the spin Hall effect in ballistic 2D electron systems.
- To determine the dependence of net spin polarization on spin-orbit coupling and boundary potentials.
- To analyze the contributions of normal and evanescent modes to spin polarization.
Main Methods:
- Theoretical analysis of the spin Hall effect.
- Analytical solution for a hard-wall boundary potential.
- Investigation of contributions from normal and evanescent modes.
Main Results:
- Net spin polarization is second order in spin-orbit coupling, independent of boundary potential form.
- Normal and evanescent modes contribute approximately sqrt(lambda) with opposite signs.
- Local spin polarization exhibits fast Friedel oscillations and slow beatings due to spin-orbit coupling.
Conclusions:
- The study reveals universal properties of the spin Hall effect in ballistic 2D systems.
- Exact cancellation of long-wavelength contributions from evanescent and normal modes is demonstrated.
- The findings provide insights into spin transport and polarization in low-dimensional electron systems.
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