PHZ3400-11 Problem Set 5: Difference between revisions
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(New page: ''Problem 1.''' a) Derive the expressions for the Fermi energy, Fermi velocity, and electronic density of states for a two-dimensional free electron gas. b) A 2D electron gas formed in ...) |
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''Problem 1.''' | '''Problem 1.''' | ||
a) Derive the expressions for the Fermi energy, Fermi velocity, and electronic density of states for a two-dimensional free electron gas. | a) Derive the expressions for the Fermi energy, Fermi velocity, and electronic density of states for a two-dimensional free electron gas. |
Revision as of 20:49, 17 March 2011
Problem 1.
a) Derive the expressions for the Fermi energy, Fermi velocity, and electronic density of states for a two-dimensional free electron gas.
b) A 2D electron gas formed in a GaAs/AlGaAs quantum well has a density of . Assuming that the electrons there have the free electron mass, calculate the Fermi energy and Fermi velocity.