期刊
PHYSICAL REVIEW B
卷 81, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.81.085303
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资金
- National Science Foundation [DMR-0706319]
- Swiss NF
- NCCR Nanoscience Basel
- Erdal Inonu Chair of Sabanci University
- Deutsche Forschungsgemeinschaft [SFB 689]
- Studienstiftung des Deutschen Volkes
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0706319] Funding Source: National Science Foundation
We calculate the electrically induced spin accumulation in diffusive systems due to both Rashba (with strength alpha) and Dresselhaus (with strength beta) spin-orbit interaction. Using a diffusion equation approach we find that magnetoelectric effects disappear and that there is thus no spin accumulation when both interactions have the same strength, alpha = +/- beta. In thermodynamically large systems, the finite spin accumulation predicted by Chaplik, Entin, and Magarill [Physica E 13, 744 (2002)] and by Trushin and Schliemann [Phys. Rev. B 75, 155323 (2007)] is recovered an infinitesimally small distance away from the singular point alpha = +/- beta. We show however that the singularity is broadened and that the suppression of spin accumulation becomes physically relevant (i) in finite-sized systems of size L, (ii) in the presence of a cubic Dresselhaus interaction of strength gamma, or (iii) for finite-frequency measurements. We obtain the parametric range over which the magnetoelectric effect is suppressed in these three instances as (i) vertical bar alpha vertical bar-vertical bar beta vertical bar <= 1/mL, (ii) vertical bar alpha vertical bar-vertical bar beta vertical bar less than or similar to gamma p(F)(2), and (iii) vertical bar alpha vertical bar-vertical bar beta vertical bar less than or similar to root omega/mp(F)l with l the elastic mean-free path and pF the Fermi momentum. We attribute the absence of spin accumulation close to alpha = +/-beta to the underlying U(1) symmetry. We illustrate and confirm our predictions numerically.
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