Plotting IV curve of Si numerically

[mshossain]

Hi all

Before i start, i should say that i have been working in the field of quantam mechanics for just 6 months now. I have a problem where i have to draw numerically the IV curve of Si in MATLAB under forward bias condition. I have the electric field and potential calculated the following way, respectively -

Efield(jj) = q*dx*( -1*sum(drho(1:jj)) + sum(drho(jj:end)) )/(2*KS*8.85e-12);
U(jj) = U(jj-1)-Efield(jj)*dx;

where the drho is the total charge(n+p+nuclear charge). and U is the electrostatic potential.
So far this equations were used for the equilibrium conditions from which current (J) is calculated in the form of derivative of electron/hole density with respect to time (dn/dt or dp/dt); (J = sum(dn/dt)*dx). To plot the IV curves now i have to use the forward bias values (VA) so the potential on the n-side will change. But i couldn't figure out how i can introduce that into my MATLAB script. How can i relate the applied voltage with the resultant current (dn/dt or J)? Can anyone please give me some suggestions.

Thanks in advance.

 

[Valerie Park]

</code>If you are trying to calculate the current-voltage (IV) curve of a semiconductor device, you will need to apply an external voltage across the device. This voltage will act as an electric field across the device, causing electrons and holes to move from one side to the other. The current flowing through the device is then a result of this electric field and the number of charge carriers in the device.In order to calculate the IV curve, you will need to solve the equations of motion for the charge carriers in the device. These equations will depend on the type of semiconductor device you are modelling. For example, if you are modelling a silicon diode, then you will need to solve the drift-diffusion equations. If you are modelling a bipolar junction transistor, then you will need to solve the Ebers-Moll equations.Once you have solved the equations of motion for the charge carriers, you can then calculate the current flowing through the device as a function of the applied voltage. This will give you the IV curve.You can also use numerical methods such as finite element analysis or Monte Carlo simulations to calculate the IV curve. These methods are more accurate than analytical solutions and can be used to model more complex devices. I hope this helps!