Ebook: The Crystal Lattice: Phonons, Solitons, Dislocations, Superlattices, Second Edition

The aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. In the second revised and updated edition, the author focuses on low-dimensional models of crystals and on superlattices. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid state physics during the last decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanisms as a basis of the theory of plasticity and numerous technological applications of crystalline materials.Content:
Chapter 1 Mechanics of a One?Dimensional Crystal (pages 15–57):
Chapter 2 General Analysis of Vibrations of Monatomic Lattices (pages 59–88):
Chapter 3 Vibrations of Polyatomic Lattices (pages 89–123):
Chapter 4 Frequency Spectrum and Its Connection with the Green Function (pages 125–151):
Chapter 5 Acoustics of Elastic Superlattices: Phonon Crystals (pages 153–162):
Chapter 6 Quantization of Crystal Vibrations (pages 163–181):
Chapter 7 Interaction of Excitations in a Crystal (pages 183–201):
Chapter 8 Quantum Crystals (pages 203–212):
Chapter 9 Point Defects (pages 213–232):
Chapter 10 Linear Crystal Defects (pages 233–246):
Chapter 11 Localization of Vibrations (pages 247–277):
Chapter 12 Localization of Vibrations Near Extended Defects (pages 279–296):
Chapter 13 Elastic Field of Dislocations in a Crystal (pages 297–319):
Chapter 14 Dislocation Dynamics (pages 321–340):