Polaritons in Periodic and Quasiperiodic Structures

Polaritons in Periodic and Quasiperiodic Structures

1st Edition - December 9, 2004

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  • Authors: Eudenilson Albuquerque, Michael Cottam
  • eBook ISBN: 9780080539171

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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.

Key Features

· 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.

Table of Contents

  • 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

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

    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

    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

    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

    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 .

    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

    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

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

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

    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)

    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

    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

Product details

  • No. of pages: 358
  • Language: English
  • Copyright: © Elsevier Science 2004
  • Published: December 9, 2004
  • Imprint: Elsevier Science
  • eBook ISBN: 9780080539171

About the Authors

Eudenilson Albuquerque

Michael Cottam

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