Parameters Table

[pcosme]

Parameter	Description	Relations	Requirements	Typical values
vF	Fermi velocity(a)			1x106 ms-1
EF	Fermi level	= ℏvF(πn)1/2	kBT≪EF ≪ t ≞3 eV	0.0658 n1/2 eV †
μ	Carrier mobility			2000~5000 cm2/Vs
τ	Relaxation time	= λi/vF		~5ps (0.1 ~ 10ps)
1/τ	Collision frequency(a)			~0.2THz
λi	Mean free path (impurities)			~5μm
λee	Mean free path (electrons)			~10nm
vsat	Saturation velocity	~0.5vF		0.5x106 ms-1
νs	Shear kinematic viscosity(a)			≈ 0.2 m2s-1
νo	Odd kinematic viscosity		broken time symmetry (B≠0)	≲ 0.1 m2s-1
Cg	Capacitance per area	= ε/d0		0.1~0.6 μFcm-2
L	Channel length(b)		λee < L < λi
W	Channel width		λee < W < λi
x:y	Aspect ratio(a)	= L/W
v0	Mean drift velocity(b)		≪ vF and < vsat	~1x105 ms-1
n0	Mean carrier density(b)			~ 1x1012 cm-2
m⋆	Effective mass	= ℏ(πn)1/2/vF		~0.02me
S	Plasmons velocity(a)	= evF n01/4/ℏCg1/2π1/2	> vF	1.17x106 n01/4Cg-1/2 ms-1 †
Re	Reynolds number	= v0L/νs
t0	Time scale(b)	= L/v0
ω0	Frequency scale(b)	= v0/L
ωc	Cyclotron frequency(a)	= eB/m⋆	B≪1 T	≪ 9 THz
ωDS	Dyakonov-Shur frequency	~ πS/2L
γDS	Dyakonov-Shur growth rate	~0.75 v0/L	> 1/τ
U0	Gate mean voltage	= en0/Cg		160 n0/Cg mV †
I0	Typical channel current	= en0v0W	<1.3 mA/cm for L=25 μm	160 n0v0W µA ‡
BP	Bohm potential parameter	= (1/32π)(vF/v0)2(1/L2n0)	0.1 μm < L < 0.2 μm	0.002 < BP < 0.010

^(a) User defined parameter

^(b) Normalisation parameter

^†If the density n₀ is given in 10¹² cm^-2 and the capacitance C_g in μFcm^-2

^‡If the density n₀ is given in 10¹² cm^-2, the drift velocity v₀ in 10⁵ ms^-1 and the channel width W in µm

[ifgrdo]

Fica super organizado assim, obrigado!

[pcosme]

For easer usage here you can find a GoogleDocs Spreadsheet that computus the derived quantities and nondimensional parameters

[pcosme]

Aproveito para chamar a atenção dos newcommers @joaorebelo-megum @RedCatiKo0 @RuiMPMartins @diogo-s-simoes para esta página 😉
Podem usar e claro podem e devem dar update à tabela também com as vossas constantes

[RedCatiKo0]

Já adicionei a constante que calculei no final da tabela :)