ECE 659: Quantum Transport
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SYLLABUS 2020
TEXT
SYLLABUS (updated 01/14/20)
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Practice Exams/Notes
- Please see below under specific sections
Exam 1 (1/31) : Semiclassical Transport
Lectures
- I-L1.1: Introduction
- I-L1.2: Two Key Concepts
- I-L1.3: Why Electrons Flow
- I-L1.4: Conductance Formula
- I-L1.5: Ballistic (B) Conductance
- I-L1.6: Diffusive (D) Conductance
- I-L1.7: Connecting B to D
- I-L1.8: Angular Averaging
- I-L1.9: Drude Formula
- I-L1.10: Summing Up
- I-L2.1: Energy Band Model - Introduction
- I-L2-2: Energy Band Model - E(p) or E(k) Relations
- I-L2.3: Energy Band Model - Counting States
- I-L2.4: Energy Band Model - Density of States
- I-L2.5: Energy Band Model - Number of Modes
- I-L2.6: Energy Band Model - Electron Density (n)
- I-L2.7: Energy Band Model - Conductivity vs Electron Density (n)
- I-L2.8: Energy Band Model - Quantum Capacitance
- I-L2.9: Energy Band Model - The Nanotransistor
- I-L2.10: Energy Band Model - Summing Up
- I-L3.1: What and Where is the Voltage - Introduction
- I-L3.2: What and Where is the Voltage - A New Boundary Condition
- I-L3.3: What and Where is the Voltage - Quasi-Fermi Levels (QFL's)
- I-L3.4: What and Where is the Voltage - Current from QFL's
- I-L3.5: What and Where is the Voltage - Landauer Formulas
- I-L3.6: What and Where is the Voltage - What a Probe Measures
- I-L3.7: What and Where is the Voltage - Electrostatic Potential
- I-L3.8: What and Where is the Voltage - Boltzmann Equation
- I-L3.9: What and Where is the Voltage - Spin Voltages
- I-L3.10: What and Where is the Voltage - Summing Up
Exam
- Practice Exams/Notes
- Exam1Solution2015/2016
Exam 2 (2/14) : Schrodinger Equation
Lectures
- 2-L1.1: Schrodinger Equation: Introduction
- 2-L1.2: Schrodinger Equation: Wave Equation
- 2-L1.3: Schrodinger Equation: Differential to Matrix Equation
- 2-L1.4: Schrodinger Equation: Dispersion Relation
- 2-L1.5: Schrodinger Equation: Counting States
- 2-L1.6: Schrodinger Equation: Beyond 1D
- 2-L1.7: Schrodinger Equation: Lattice with a Basis
- 2-L1.8: Schrodinger Equation: Graphene
- 2-L1.9: Schrodinger Equation: Reciprocal Lattice/Valleys
- 2-L1.10: Schrodinger Equation: Summing Up
Exam
Exam 3 (3/13) : Contact-ing Schrodinger
Lectures
- 3-L2.1: Introduction
- 3-L2.2: Semiclassical Model
- 3-L2.3: Quantum Model
- 3-L2.4: Contact-ing Schrodinger: NEGF Equations
- 3-L2.5: Current Operator
- 3-L2.6: Scattering Theory
- 3-L2.7: Transmission
- 3-L2.8: Resonant Tunneling
- 3-L2.9: Dephasing
- 3-L2.10: Summing Up
- 3-L3.1: More Examples - Introduction
- 3-L3.2: More Examples - Basis Transformation
- 3-L3.3: More Examples - Self-Energy: General Expression
- 3-L3.4: More Examples - Recursive Method
- 3-L3.5: More Examples - Graphene
- 3-L3.6: More Examples - Magnetic Field
- 3-L3.7: More Examples - Fermi's Golden Rule
- 3-L3.8: More Examples - Inelastic Scattering
- 3-L3.9: More Examples - Strong correlations
- 3-L3.10: More Examples - Summing Up
Exam
- Practice Exam
Exam 4 (4/10) : Spin Transport
Lectures
- 4-L4.1: Introduction
- 4-L4.2: Spin Transport: Magnetic Contacts
- 4-L4.3: Rotating Contacts
- 4-L4.4: Vectors and Spinors
- 4-L4.5: Spin-Orbit Coupling
- 4-L1.6: Spin Hamiltonian
- 4-L4.7: Spin Density/Current
- 4-L4.8: Spin Transport: Spin Voltage
- 4-L4.9: Spin Transport: Spin Circuits
- 4-L4.10: Spin Transport: Summing Up
Exam
- Practice Exams/Notes
Exam 5 (5/4) : Heat & Electricity, Fock Space
Lectures
- 5-L4.1: Itroduction
- 5-L4.2: Seebeck Coefficient
- 5-L4.3: Heat Current
- 5-L4.4: One-level Device
- 5-L4.5: Second Law
- 5-L4.6: Entropy
- 5-L4.7: Law of Equilibrium
- 5-L4.8: Shannon Entropy
- 5-L4.9: Fuel Value of Information
- 5-L4.10: Summing Up
EXAM
- Practice Exams/Notes