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Diffusion coefficient, correlation function, and power spectral density of velocity fluctuations in monolayer graphene
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10.1063/1.4824182
/content/aip/journal/jap/114/14/10.1063/1.4824182
http://aip.metastore.ingenta.com/content/aip/journal/jap/114/14/10.1063/1.4824182
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Diffusion coefficient for parallel (circles) and perpendicular (squares) directions for background (grey) and excess (black) carriers obtained by means of the second central moment. White symbols show the results obtained from velocity fluctuations just for some selected electric field values in order to provide an insight of the agreement of both methods and avoid excessive symbol overlapping in the figure. The inset shows an ampliation of the low-field region. The carrier density is equal to 1012 cm−2.

Image of FIG. 2.
FIG. 2.

Wavevector distribution function for background carriers at  = 0.01 kV/cm (a), 0.1 kV/cm (b), and 1 kV/cm (c) and excess carriers distribution at  = 0.01 kV/cm (d), 0.1 kV/cm (e), and 1 kV/cm (f). The carrier density is equal to 1012 cm−2. The circles indicate the equilibrium Fermi surface as a reference.

Image of FIG. 3.
FIG. 3.

Percentage of scattering events as a function of the applied field for background carriers (grey symbols) and excess carriers (black symbols) for = 1012 cm–2 (a)–(c). Average electron energy as a function of the applied field for background (grey diamonds) and excess (black diamonds) carriers (d).

Image of FIG. 4.
FIG. 4.

Average time between scatterings for background (grey circles) and excess carriers (black circles) for  = 1012 cm–2 (a) and quasi-equilibrium diffusion coefficient as a function of the carrier density (circles: Monte Carlo results; triangles down: results from Eq. (3) ; triangles up: results from Eq. (4) ) for background electrons and diamonds: for excess electrons.

Image of FIG. 5.
FIG. 5.

Average velocity distribution function in the parallel (a) and perpendicular (b) directions for several values of the applied field (excess carriers).

Image of FIG. 6.
FIG. 6.

Instantaneous velocity for a given particle in the parallel (a) and perpendicular (b) direction, for an applied field equal to 1 kV/cm.

Image of FIG. 7.
FIG. 7.

Autocorrelation function of parallel and perpendicular velocity fluctuations for excess carriers, for  = 1012 cm−2 and several values of the applied electric field, 0.01 kV/cm (a), 0.1 kV/cm (b), 1 kV/cm (c), and 10 kV/cm (d). Figure (a) includes also the results for the background carrier population for comparison.

Image of FIG. 8.
FIG. 8.

Parallel (a) and perpendicular (b) power spectral density of velocity fluctuations for  = 1012 cm−2 and several values of the applied electric field.

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/content/aip/journal/jap/114/14/10.1063/1.4824182
2013-10-08
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Diffusion coefficient, correlation function, and power spectral density of velocity fluctuations in monolayer graphene
http://aip.metastore.ingenta.com/content/aip/journal/jap/114/14/10.1063/1.4824182
10.1063/1.4824182
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