2009.03.30-ECE659-L29-notes

2009.03.30-ECE659-L29-notes - ECE 659 Quantum Transport:...

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Unformatted text preview: ECE 659 Quantum Transport: Atom to Transistor Lecture 29: Hamiltonian including Spin Supriyo Datta Spring 2009 Notes prepared by Samiran Ganguly H s 2 1 V 1 2 { } ( 29 { } 2 * 2 p E I E p m = + a a a 1 1 x = y i i - = 1 1 z = - p i = - x p i x = - y p i y = - z p i z = - ny 2x2 ermitian atrix can be written as linear combination of Identity and Pauli matrices Any 2x2 Hermitian matrix can be written as linear combination of Identity and Pauli matrices Usually the Rashba term contains the magnitude of Electric field so: { } ( 29 { } 2 * 2 p E I z p m = + a a a t- n If there is no spin orbit coupling we use: I tI- and ( 29 { } { } ik r r e = a a a { } ( 29 { } E h k = a ik r ik r ik r x x p e i e k e x = - =...
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This note was uploaded on 01/30/2011 for the course ECE 659 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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2009.03.30-ECE659-L29-notes - ECE 659 Quantum Transport:...

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