Quantum wires are artificial structures characterized by nanoscale cross sections that contain charged particles moving along a single degree of freedom. With electronic motions constrained into standing modes along with the two other spatial directions, they have been primarily investigated for their unidimensional dynamics of quantum-confined charge carriers, which eventually led to broad applications in large-scale nanoelectronics. This book is a compilation of articles that span more than 30 years of research on developing comprehensive physical models that describe the physical properties of these unidimensional semiconductor structures. The articles address the effect of quantum confinement on lattice vibrations, carrier scattering rates, and charge transport as well as present practical examples of solutions to the Boltzmann equation by analytical techniques and by numerical simulations such as the Monte Carlo method. The book also presents topics on quantum transport and spin effects in unidimensional molecular structures such as carbon nanotubes and graphene nanoribbons in terms of non-equilibrium Green’s function approaches and density functional theory.
Author(s): Jean-Pierre Leburton
Publisher: Jenny Stanford Publishing
Year: 2023
Language: English
Pages: 568
City: Singapore
Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Part I: Semiconductor Quantum Wires
Chapter 1: Size Effects on Polar Optical Phonon Scattering of One-Dimensional and Two-Dimensional Electron Gas in Synthetic Semiconductors
1.1: Introduction
1.2: Theory
1.3: Conclusion
Chapter 2: Self-Consistent Polaron Scattering Rates in Quasi-One-Dimensional Structures
Chapter 3: Plasmon Dispersion Relation of a Quasi-One-Dimensional Electron Gas
Chapter 4: Size Effects in Multisubband Quantum Wire Structures
4.1: Introduction
4.2: Model
4.3: Monte Carlo Code
4.4: Results
4.5: Conclusions
Chapter 5: Impurity Scattering with Semiclassical Screening in Multiband Quasi-One-Dimensional Systems
5.1: Introduction
5.2: Model
5.3: Dielectric Constant Matrix
5.4: Impurity Scattering Rate
5.5: Conclusions
Chapter 6: Resonant Intersubband Optic Phonon Scattering in Quasi-One-Dimensional Structures
6.1: Introduction
6.2: Model
6.3: Results
6.4: Conclusion
Chapter 7: Intersubband Population Inversion in Quantum Wire Structures
Chapter 8: Intersubband Resonant Effects of Dissipative Transport in Quantum Wires
8.1: Introduction
8.2: Model
8.3: Monte Carlo Method
8.4: Results
8.5: Conclusion
Chapter 9: Intersubband Optic Phonon Resonances in Electrostatically Confined Quantum Wires
Chapter 10: Transient Simulation of Electron Emission from Quantum-Wire Structures
10.1: Introduction
10.2: Model
10.3: Scattering Rates
10.4: Monte Carlo Simulation
10.5: Results
10.6: Conclusions
Chapter 11: Carrier Capture in Cylindrical Quantum Wires
Chapter 12: Electron-Phonon Interaction and Velocity Oscillations in Quantum Wire Structures
12.1: Introduction
12.2: Model
12.3: Spatial Velocity Oscillations
12.4: Conclusion
Chapter 13: Transient and Steady-State Analysis of Electron Transport in One-Dimensional Coupled Quantum-Box Structures
13.1: Introduction
13.2: Electronic Model
13.3: Scattering Model
13.4: Transport Model
13.5: Results and Discussion
13.5.1: Time-Dependent solutions
13.5.2: Steady-State Solutions
13.6: Concluding Remarks
Chapter 14: Acoustic-Phonon Limited Mobility in Periodically Modulated Quantum Wires
14.1: Introduction
14.2: Electronic Band Structure
14.3: Acoustic-Phonon Scattering
14.4: Results
14.4.1: Short Modulation Period Quantum Wires
14.4.2: Long Modulation Period Quantum Wires
14.5: Conclusion
Chapter 15: Antiresonant Hopping Conductance and Negative Magnetoresistance in Quantum-Box Superlattices
15.1: Introduction
15.2: Electronic Model
15.3: Transport Model
15.4: Antiresonances and Resonances in Hopping Transport
15.5: Conclusion
Chapter 16: Oscillatory Level Broadening in Superlattice Magnetotransport
Chapter 17: Breakdown of the Linear Approximation to the Boltzmann Transport Equation in Quasi-One-Dimensional Semiconductors
Chapter 18: Optic-Phonon-Limited Transport and Anomalous Carrier Cooling in Quantum-Wire Structures
18.1: Introduction
18.2: Electronic Properties and Scattering Rates
18.3: Boltzmann Equation
18.4: Solution of the Boltzmann Equation
Chapter 19: lntersubband Stimulated Emission and Optical Gain by “Phonon Pumping” in Quantum Wires
19.1: Introduction
19.2: Model
19.3: Optical Gain Analysis
19.4: Conclusions
Chapter 20: Superlinear Electron Transport and Noise in Quantum Wires
20.1: Introduction
20.2: Model and Method
20.3: Results and Discussion
20.4: Conclusions
Chapter 21: Importance of Confined Longitudinal Optical Phonons in Intersubband and Backward Scattering in Rectangular AlGaAs/GaAs Quantum Wires
Chapter 22: Confined and Interface Phonon Scattering in Finite Barrier GaAs/AlGaAs Quantum Wires
22.1: Introduction
22.2: Model
22.3: Results and Discussions
22.4 Conclusion
Chapter 23: Hole Scattering by Confined Optical Phonons in Silicon Nanowires
Part II: Carbon Nanotubes and Nanoribbons
Chapter 24: Nonlinear Transport and Heat Dissipation in Metallic Carbon Nanotubes
Chapter 25: Joule Heating Induced Negative Differential Resistance in Freestanding Metallic Carbon Nanotubes
Chapter 26: Restricted Wiedemann–Franz Law and Vanishing Thermoelectric Power in One-Dimensional Conductors
Chapter 27: High-Field Electrothermal Transport in Metallic Carbon Nanotubes
27.1: Introduction
27.2: Model
27.2.1: Electric and Energy Flow
27.2.2: Electron-Phonon interaction
27.2.3: Electron-Phonon Heat Exchange
27.2.4: Heat Flow Diagram
27.3: Results
27.3.1: Low-Field Regime
27.3.2: High-Field Regime
27.3.3: Heat Flow
27.3.4: Hot Phonons
27.3.5: Electrical Power vs Length
27.4 Conclusions
Chapter 28: Atomic Vacancy Defects in the Electronic Properties of Semi-metallic Carbon Nanotubes
28.1: Introduction
28.2: Model
28.3: Results and Discussions
28.4: Conclusion
Chapter 29: Chirality Effects in Atomic Vacancy–Limited Transport in Metallic Carbon Nanotubes
29.1: Introduction
29.2: Model
29.3: Results and Discussion
29.4: Conclusion
Chapter 30: Vacancy Cluster–Limited Electronic Transport in Metallic Carbon Nanotubes
30.1: Introduction
30.2: Model
30.3: Results and Discussions
30.4: Conclusion
Chapter 31: Vacancy-Induced Intramolecular Junctions and Quantum Transport in Metallic Carbon Nanotubes
31.1: Introduction
31.2: Computational Methods and Models
31.3: Results and Discussion
31.4: Conclusions
Chapter 32: On the Sensing Mechanism in Carbon Nanotube Chemiresistors
32.1: Introduction
32.2: Results and Discussion
32.3: Methods
32.3.1: Fabrication and Design of the Chemiresistor
32.3.2: SWNT Preparation and Deposition on Silicon Substrate
Chapter 33: Defect Symmetry Influence on Electronic Transport of Zigzag Nanoribbons
33.1: Introduction
33.2: Model and Methods
33.3: Results and Discussions
33.4: Conclusion
Chapter 34: Controllable Tuning of the Electronic Transport in Pre-designed Graphene Nanoribbon
34.1: Introduction
34.2: Model
34.3: Results and Discussions
34.4: Conclusion
Chapter 35: Quantum Conduction through Double-Bend Electron Waveguide Structures
Chapter 36: Quantum Ballistic Transport through a Double-Bend Waveguide Structure: Effects of Disorder
36.1: Introduction
36.2: Numerical Method
36.3: Results and Discussion
36.3.1: Ideal Structures
36.3.2: Systems with Disorder
36.3.3: Multiple Double-Bend Structures
36.4: Conclusions
Chapter 37: Quantum Transport through One-Dimensional Double-Quantum-Well Systems
Chapter 38: Cascaded Spintronic Logic with Low-Dimensional Carbon
38.1: Introduction
38.2: Results
38.2.1: Device Structure and Physical Operation
38.2.2: Edge Effects and Operation Temperature
38.2.3: Switching Behaviour
38.2.4: Logic Gates and System Integration
38.3: Discussion
38.4: Methods
38.4.1: Hubbard Tight-Binding Hamiltonian
38.4.2: Diagonalization and the Secular Equation
38.4.3: Mean-Field Approximation
Index
