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Electron spin relaxation in rippled graphene with low mobilities
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10.1063/1.4757417
/content/aip/journal/jap/112/7/10.1063/1.4757417
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/7/10.1063/1.4757417
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Upper panel: schematic of the rippled graphene curved along the x-axis. The angle between the y-axis and one carbon-carbon bond in counterclockwise direction is α (0 ≤ α < 2π/3). Lower panel: schematic of the effective magnetic field from the SOC along one circle around K and K′ points. (a) The effective magnetic field induced by the Rashba-type SOC only (ζ′ = 0); (b) The effective magnetic field from both types of the SOC with α = 0.

Image of FIG. 2.
FIG. 2.

Solid, dashed, and dotted curves: temperature dependence of spin relaxation time with different values of κ. Chain curve with the scale on the right-hand side of the frame: temperature dependence of mean free path. ne  = 7 × 1011 cm−2 and ni  = 2 × 1012 cm−2.

Image of FIG. 3.
FIG. 3.

Temperature dependence of spin relaxation time with the inclusion of different intervalley scatterings. Solid curve: with both the intervalley electron-electron (e-e) and electron-phonon (e-p) scatterings; Dashed curve: without the intervalley e-e scattering; Chain curve: without the intervalley e-p scattering; Dotted curve: without both the intervalley e-e and e-p scatterings. ne  = 7 × 1011 cm−2, ni  = 2 × 1012 cm−2, and κ = 0.01 nm−1.

Image of FIG. 4.
FIG. 4.

Temperature dependence of spin relaxation time for the genuine case (ζζ′ ≠ 0), the case without the Zeeman-like term (ζ′ = 0) and the case without the Rashba type SOC (ζ = 0). ne  = 7 × 1011 cm−2, ni  = 2 × 1012 cm−2, and κ = 0.01 nm−1.

Image of FIG. 5.
FIG. 5.

Temperature dependence of the ratios of the momentum scattering rate (dashed curve) and the spin relaxation time (solid curve) with ni  = 3 × 1012 cm−2 to those with ni  = 2 × 1012 cm−2, labeled as and , respectively. ne  = 7 × 1011 cm−2 and κ = 0.01 nm−1.

Image of FIG. 6.
FIG. 6.

Temperature dependence of spin relaxation time with different electron densities. Solid curve: ne  = 7 × 1011 cm−2 and Dashed curve: ne  = 1.4 × 1012 cm−2, ni  = 3 × 1012 cm−2, and κ = 0.01 nm−1.

Image of FIG. 7.
FIG. 7.

Temperature dependence of spin relaxation time along different directions in the graphene plane with (solid curves) and without (dashed curves) an external magnetic field along the z-axis. Solid curve with squares (open circles): spin relaxation along the direction parallel (perpendicular) to b with external magnetic field of 10 mT along the z-axis; Dashed curve with closed circles (triangles): spin relaxation along the direction parallel (perpendicular) to b without external magnetic field. The dotted curve with crosses stands for the temperature dependence of the parameter, , calculated from the average value of the spin relaxation rates along directions parallel and perpendicular to b without external magnetic field. ne  = 7 × 1011 cm−2, ni  = 2 × 1012 cm−2, and κ = 0.01 nm−1.

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/content/aip/journal/jap/112/7/10.1063/1.4757417
2012-10-08
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Electron spin relaxation in rippled graphene with low mobilities
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/7/10.1063/1.4757417
10.1063/1.4757417
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