Polaritons in Periodic and Quasiperiodic Structures

In recent years there have been exciting developments in techniques for producing multilayered structures of different materials, often with thicknesses as small as only a few atomic layers. These artificial structures, known as superlattices, can either be grown with the layers stacked in an alternating fashion (the periodic case) or according to some other well-defined mathematical rule (the quasiperiodic case). This book describes research on the excitations (or wave-like behavior) of these materials, with emphasis on how the material properties are coupled to photons (the quanta of the light or the electromagnetic radiation) to produce “mixed” waves called polaritons.

· Clear and comprehensive account of polaritons in multilayered structures · Covers both periodic and quasiperiodic superlattices · Careful attention to theoretical developments and tools · Invaluable guide for researchers in this field · Shows developments from the basics to advanced topics

The book is aimed at graduate students, faculty members and other researchers in condensed matter physics, materials science and engineering, surface and interface science, and nanotechnology. It will be useful in providing instructional material in this developing area of physics/ materials science, as a review of the field of study, and as a comprehensive reference.

Preface

1 Basic Properties of Excitations in Solids 1.1 Symmetry and Crystal Lattices 1.2 Reciprocal Lattices and Brillouin Zones . 1.3 Bulk, Surface and Superlattice Excitations 1.4 Phonon: Quantum of the Lattice Vibrations 1.5 Plasmon: Quantum of the Plasma Oscillations 1.6 Exciton: Bound Electron-Hole Pair 1.7 Magnon: Quantum of the Spin Wave References

2 Periodic and Quasiperiodic Structures 2.1 Periodic Structures 2.2 Quasiperiodic Structures 2.3 Examples of Quasiperiodic Structures 2.3.1 2.3.2 Fibonacci 2.3.3 Thue-Morse 2.3.4 Double-period References

3 Bulk Polaritons 3.1 The Frequency Dependent Dielectric Function 3.2 Bulk Plasmon- and Phonon-Polaritons 3.3 Bulk Exciton-Polaritons 3.4 Magnetic Susceptibility 3.5 Bulk Magnetic-Polaritons References

4 Surface Plasmon- and Phonon-Polaritons 4.1 Single Interface Modes: Isotropic Media 4.2 Single Interface Modes: Anisotropic Media 4.3 Charge-Sheet Modes 4.4 Thin Films 4.5 Experimental Studies References

5 Plasmon-Polaritons in Periodic Structures 5.1 Two-Component Superlattices 5.1.1 Infinite Superlattices 5.1.2 Semi-Infinite Superlattices 5.1.3 Finite Superlattices 5.2 Superlattices with Charge Sheets 5.3 Doped Semiconductor Superlattices 5.4 Piezoelectric Superlattices 5.4.1 Piezoelectric Layer 5.4.2 Superlattice Structure 5.5 Magnetoplasmon-Polaritons in Finite and Infinite Superlattices References

6 Plasmon-Polaritons in Quasiperiodic Structures 6.1 Two-Component Quasiperiodic Structures 6.1.1 Numerical Examples 6.2 Localization and Scaling Properties 6.3 Multifractal Analysis 6.4 Quasiperiodic nipi Structures 6.5 Thermodynamic Properties 6.5.1 Theoretical Model 6.5.2 Specific Heat Profiles . References

7 Magnetic Polaritons 7.1 Exchange Spin Waves in Thin Films 7.2 Magnetostatic Modes in Thin Films 7.2.1 Magnetization Parallel to the Film Surfaces 7.2.2 Magnetization Perpendicular to the Film Surfaces 7.3 Spin Waves in Magnetic Superlattices 7.3.1 Exchange Region 7.3.2 Magnetostatic Region 7.4 Rare-Earth Superlattices 7.5 Metamagnetic Thin Films 7.6 Quasiperiodic Structures References

8 Magnetic Polaritons in Spin-Canted Systems 8.1 The Magnetic Hamiltonian 8.2 Magnetic Polaritons in Canted Antiferromagnets 8.3 Magnetic Polaritons in Spin-Canted Thin Films References

9 Metallic Magnetic Multilayers 9.1 Magnetoresistance Self-Similar Spectra 9.2 Magnetization Profiles 9.3 Ferromagnetic Resonance Curves 9.4 Thermodynamic Properties References

10 Exciton-Polaritons 10.1 Thin Films 10.2 Superlattice Modes 10.3 Superlattice Modes in the Presence of a Magnetic Field References

11 Experimental Techniques 11.1 Raman Scattering in Periodic Structures 11.1.1 Two-Components Superlattices with 2D Charge Sheets 11.1.2 nipi Superlattices 11.2 Raman Scattering in Quasiperiodic Structures 11.3 Brillouin Light Scattering (BLS) 11.4 Resonant Brillouin Scattering (RBS) 11.4.1 Reflection and Transmission Spectra 11.4.2 Light Scattering Formalism 11.4.3 RBS Cross Section 11.5 Far-Infrared Attenuated Total Reflection (ATR) 11.6 Other Techniques 11.6.1 Light-Emitting Tunnel Junction 11.6.2 Far-Infrared (FIR) Fourier-Transform Spectroscopy 11.6.3 Magneto-Optical Kerr E_ect (MOKE) 11.6.4 Ferromagnetic Resonance (FMR) References

12 Concluding Topics 12.1 Nonlinear Dielectric Media 12.2 Nonlinear Excitations in Single-Interface Geometries 12.3 Nonlinear Excitations in Double-Interface Systems 12.4 Nonlinear Excitations in Multilayer Systems 12.5 Conclusions and Future Directions References

Appendix A: Some Theoretical Tools A.1 Perturbation Theory A.2 Second Quantization A.3 Basic Properties of Green Functions A.4 Diagrammatic Perturbation Theory References