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1 Departments of ECE and MSE, Cornell University ECE 4070/MSE 5470: Physics of Semiconductor and Nanostructures Spring 2015 Homework 7 : Solutions Due on April 20, 2015 at 5:00 PM Problem 7.1 (The deep-acceptor problem and the 2014 Physics Nobel Prize)

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Page 1: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Departments of ECE and MSE, Cornell University

ECE 4070/MSE 5470: Physics of Semiconductor and Nanostructures

Spring 2015

Homework 7 : Solutions Due on April 20, 2015 at 5:00 PM

Problem 7.1 (The deep-acceptor problem and the 2014 Physics Nobel Prize)

Page 2: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Page 3: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Page 4: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Problem 7.2 (Time-dependent Effective Mass Equation)

Problem 7.3 (Probability currents for the Effective Mass equation)

Page 5: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Problem 7.4 (A Quantum Well in a Semiconductor Heterostructure)

Page 6: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Problem 7.5 (Equilibrium in Semiconductor Heterojunctions with various band offsets)

Page 7: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Page 8: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Problem 7.6 (Bloch transport and Bloch Oscillations)

Page 9: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Page 10: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Part c:

Page 11: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Parts d, e:

Page 12: Departments of ECE and MSE, Cornell University · 1 Departments of ECE and MSE, Cornell University ... Homework 7: Solutions Due on April 20, ... 1. x 102 1. x 101 > 1. x 1012 1

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Part f:

Various approaches are feasible – other than the superlattice approach mentioned here!