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NNSE508_EM-L10-statistics

NNSE508_EM-L10-statistics - 1 Lecture contents Density of...

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NNSE 508 EM Lecture #10 1 Lecture contents Density of states Statistics Metals: transport
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NNSE 508 EM Lecture #10 2 Density of states How to fill the states in almost free electron band structure ? 1. Calculate number of states per unit energy per unit volume 2. Use Pauli exclusion principle and distribution function to fill the bands z z z y y y x x x n L k n L k n L k 2 2 2 Electrons are waves ! Large 3D box (L is large, n is large) with Born-von Karman boundary Conditions: ikr Ae 3D : 2D : 1D : 3 2 V N Free electron approximation: ( , , ) ( , , ) same for y and z x x L y z x y z 0 L x V(x) x V 0 z y x z y x z y x n n n L L L k k k 3 2 2 2 S N 2 kL N Number of states:
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