Homework_4

Homework_4 - EE506 Semiconductor Physics Homework...

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EE506 Semiconductor Physics Homework Assignment #4 Prof. Steve Cronin Due October 25, 2011 For this problem set, you should turn in both a paper copy of the solutions and an electronic copy of your MatLab program. Email this to me at scronin@usc.edu . Thermoelectric Transport: 1.) Write a function in MatLab that calculates the dimensionless Fermi integral: where It should look something like this: % This function calculates the dimensionless Fermi integral for a given % order and Fermi level (given in J). function result = fermi_int(order,E_f) echarge = 1.6021764e-19; %[J/eV]charge of an electron kB = 1.3806505e-23; T = 300; kBT = kB*T/echarge; %Integral xmin = 0; xmax = 50; %max limit is not Inf since 10m >> 5nm F = @(x) (x.^(order))./(exp(x-E_f/kBT) + 1); %fermi integral function result = quadl(F,xmin,xmax); %Numerically evaluate integral, % adaptive Lobatto quadrature For problems 2.) through 4.) assume the following properties for Bi 2 Te 3 Effective masses: m x = 0.02 , m y = 0.08, and
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Homework_4 - EE506 Semiconductor Physics Homework...

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