homework8 - Department of Electrical and Computer...

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1 Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 8 Due on March 31, 2009 at 5:00 PM Suggested Readings: a) Lecture notes Problem 8.1: (Motion in magnetic fields and the Hall effect in semiconductors) Consider a semiconductor sample shown below. The semiconductor has a conduction band minimum at the Γ -point with an isotropic effective mass e m and a valence band maximum also at the Γ -point with an isotropic effective mass h m . A constant and uniform magnetic field is applied in the z-direction and is given by z B B o ˆ = r . A field x E is applied in the x-direction. You should assume that y E is also non zero. The ratio x y J E is called the Hall resistivity H ρ . a) If the semiconductor is n-doped with an electron density given by n , find the magnitude and sign of the Hall resistivity H . Assume that the hole density is zero. b) If the semiconductor is p-doped with a hole density given by p , find the magnitude and sign of the Hall resistivity H . Assume that the electron density is zero. Problem 8.2: (Graphene: statistics and current for non-parabolic bands)
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This note was uploaded on 04/04/2009 for the course ECE 4070 taught by Professor Rana during the Spring '08 term at Cornell University (Engineering School).

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homework8 - Department of Electrical and Computer...

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