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Looking to rent a book? Rent Quantum Wells, Wires and Dots : Theoretical and Computational Physics of Semiconductor Nanostructures [ISBN: 9780470770979] for the semester, quarter, and short term or search our site for other textbooks by Harrison, Paul. Renting a textbook can save you up to 90% from the cost of buying.
| Preface | |
| Acknowledgements | |
| About the author | |
| About the book | |
| Introduction | |
| Semiconductors and heterostructures | |
| The mechanics of waves | |
| Crystal structure | |
| The effective mass approximation | |
| Band theory | |
| Heterojunctions | |
| Heterostructures | |
| The envelope function approximation | |
| The reciprocal lattice | |
| Solutions to Schrödinger's equation | |
| The infinite well | |
| In-plane dispersion | |
| Density of states | |
| Subband populations | |
| Finite well with constant mass | |
| Effective mass mismatch at heterojunctions | |
| The infinite barrier height and mass limits | |
| Hermiticity and the kinetic energy operator | |
| Alternative kinetic energy operators | |
| Extension to multiple-well systems | |
| The asymmetric single quantum well | |
| Addition of an electric field | |
| The infinite superlattice | |
| The single barrier | |
| The double barrier | |
| Extension to include electric field | |
| Magnetic fields and Landau quantisation | |
| In summary | |
| Numerical solutions | |
| Shooting method | |
| Generalised initial conditions | |
| Practical implementation of the shooting method | |
| Heterojunction boundary conditions | |
| The parabolic potential well | |
| The Pöschl-Teller potential hole | |
| Convergence tests | |
| Extension to variable effective mass | |
| The double quantum well | |
| Multiple quantum wells and finite superlattices | |
| Addition of electric field | |
| Quantum confined Stark effect | |
| Field-induced anti-crossings | |
| Symmetry and selection rules | |
| The Heisenberg uncertainty principle | |
| Extension to include band non-parabolicity | |
| Poisson's equation | |
| Self-consistent Schrödinger-Poisson solution | |
| Computational implementation | |
| Modulation doping | |
| The high-electron-mobility transistor | |
| Band filling | |
| Diffusion | |
| Introduction | |
| Theory | |
| Boundary conditions | |
| Convergence tests | |
| Constant diffusion coefficients | |
| Concentration dependent diffusion coefficient | |
| Depth dependent diffusion coefficient | |
| Time dependent diffusion coefficient | |
| !-doped quantum wells | |
| Extension to higher dimensions | |
| Impurities | |
| Donors and acceptors in bulk material | |
| Binding energy in a heterostructure | |
| Two-dimensional trial wave function | |
| Three-dimensional trial wave function | |
| Variable-symmetry trial wave function | |
| Inclusion of a central cell correction | |
| Special considerations for acceptors | |
| Effective mass and dielectric mismatch | |
| Band non-parabolicity | |
| Excited states | |
| Application to spin-flip Raman spectroscopy | |
| Alternative approach to excited impurity states | |
| The ground state | |
| Position dependence | |
| Excited States | |
| Impurity occupancy statistics | |
| Excitons | |
| Excitons in bulk | |
| Excitons in heterostructures | |
| Exciton binding energies | |
| 1s exciton | |
| The two-dimensional and three-dimensional limits | |
| Excitons in single quantum wells | |
| Excitons in multiple quantum wells | |
| Stark Ladders | |
| Self-consistent effects | |
| Spontaneous symmetry breaking | |
| 2s exciton | |
| Strained quantum wells, V. D. Jovanovíc | |
| Stress and strain in bulk crystals | |
| Strain in quantum wells | |
| Strain balancing | |
| Effect on the band profile of quantum wells | |
| The piezoelectric effect | |
| Induced piezoelectric fields in quantum wells | |
| Effect of piezoelectric fields on quantum wells | |
| Simple models of quantum wires and dots | |
| Further confinement | |
| Schrödinger's equation in quantum wires | |
| Infinitely deep rectangular wires | |
| Simple approximation to a finite rectangular wire | |
| Circular cross-section wire | |
| Quantum boxes | |
| Spherical quantum dots | |
| Non-zero angular momentum states | |
| Approaches to pyramidal dots | |
| Matrix approaches | |
| Finite difference expansions | |
| Density of states | |
| Quantum dots, M. Califano | |
| 0-dimensional systems and their experimental realisation | |
| Cuboidal dots | |
| Dots of arbitrary shape | |
| Application to real problems | |
| A more complex model is not always a better model | |
| Carrier scattering | |
| Fermi's Golden Rule | |
| Phonons | |
| Longitudinal optic phonon scattering of bulk carriers | |
| LO phonon scattering of two-dimensional carriers | |
| Application to conduction subbands | |
| Averaging over carrier distributions | |
| Ratio of emission to absorption | |
| Screening of the LO phonon interaction | |
| Acoustic deformation potential scattering | |
| Application to conduction subbands | |
| Optical deformation potential scattering | |
| Confined and interface phonon modes | |
| Carrier-carrier scattering | |
| Addition of screening | |
| Averaging over an initial state population | |
| Intrasubband versus intersubband | |
| Thermalised distributions | |
| Auger-type intersubband processes | |
| Asymmetric intrasubband processes | |
| Empirical relationships | |
| Carrier-photon scattering | |
| Carrier scattering in quantum wires and dots | |
| Electron transport | |
| Introduction | |
| Mid-infrared quantum cascade lasers | |
| Realistic quantum cascade laser | |
| Rate equations | |
| Self-consistent solution of the rate equations | |
| Calculation of the current density | |
| Phonon and carrier-carrier scattering transport | |
| Electron temperature | |
| Calculation of the gain | |
| QCLs, QWIPs, QDIPs and other methods | |
| Optical properties of quantum wells, D. Indjin | |
| Intersubband absorption in quantum wells | |
| Bound-bound transitions | |
| Bound-free transitions | |
| Fermi level | |
| Rectangular quantum well | |
| Intersubband optical non-linearities | |
| Electric polarisation | |
| Intersubband second harmonic generation | |
| Maximization of resonant susceptibility | |
| Optical waveguides, C. A. Evans | |
| Introduction to optical waveguides | |
| Optical waveguide analysis | |
| Optical properties of materials | |
| Application to waveguides of laser devices | |
| Multiband envelope function (k.p) method, Z. Ikoníc | |
| Symmetry, basis states and band structure | |
| Valence band structure and the 6 × 6 Hamiltonian | |
| 4 × 4 valence band Hamiltonian | |
| Complex band structure | |
| Block-diagonalisation of the Hamiltonian | |
| The valence band in strained cubic semiconductors | |
| Hole subbands in heterostructures | |
| Valence band offset | |
| The layer (transfer matrix) method | |
| Quantum well subbands | |
| The influence of strain | |
| Strained quantum well subbands | |
| Direct numerical methods | |
| Empirical pseudopotential theory | |
| Principles and Approximations | |
| Elemental Band Structure Calculation | |
| Spin-orbit coupling | |
| Compound Semiconductors | |
| Charge densities | |
| Calculating the effective mass | |
| Alloys | |
| Atomic form factors | |
| Generalisation to a large basis | |
| Spin-orbit coupling within the large basis approach | |
| Computational implementation | |
| Deducing the parameters and application | |
| Isoelectronic impurities in bulk | |
| The electronic structure around point defects | |
| Microscopic electronic properties of heterostructures | |
| The superlattice unit cell | |
| Application of large basis method to superlattices | |
| Comparison with envelope-function approximation | |
| In-plane dispersion | |
| Interface coordination | |
| Strain-layered superlattices | |
| The superlattice as a perturbation | |
| Application to GaAs/AlAs superlattices | |
| Inclusion of remote bands | |
| The valence band | |
| Computational effort | |
| Superlattice dispersion and the interminiband laser | |
| Addition of electric field | |
| Application to quantum wires and dots | |
| Recent progress | |
| The quantum-wire unit cell | |
| Confined states | |
| V-grooved quantum wires | |
| Along-axis dispersion | |
| Tiny quantum dots | |
| Pyramidal quantum dots | |
| Transport through dot arrays | |
| Anti-wires and anti-dots | |
| Concluding Remarks | |
| Materials parameters | |
| References | |
| Topic Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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