Current of 2D Cross-Section/1D Cross-Section

Supriyo Datta. Quantum Transport: Atom to Transistor.

 

 

 

 

 

 

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测试代码

 

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clear all;
hbar = 1.06e-34; %plank constant
q = 1.6e-19;  %free electron charge
m0 = 9.1e-31; %free electon mass
mf = 0.73*m0; %FM effective mass
kT = 0.026;%eV
mu = 0;
E = 0.5;
f = (mf*kT*q)/(2*pi*(hbar^2))*(log(1+exp((mu-E)/kT)))

a = 10e-10;
tmp = 1/a;
N_kx = 500; N_ky = 500;
kx = linspace(-tmp*pi,tmp*pi,N_kx);ky = linspace(-tmp*pi,tmp*pi,N_ky);
dkx = kx(2)-kx(1);dky = ky(2)-ky(1);

res = 0;
for i_kx = 1:N_kx
    for i_ky = 1:N_ky
        energy = E + (hbar^2/(2*mf*q))*(kx(i_kx)^2 + ky(i_ky)^2);
        res = res + fermi(energy)*dkx*dky/((2*pi)^2);
    end
end
res

function val = fermi(E)
kT = 0.026;
val = 1/(1+exp(E/kT)); 
end