By combining density functional theory and linear response theory, the normal mode frequencies of lattice vibration---phonons---are calculated from first-principles. Corresponding to the original Kohn-Sham equation with an external perturbation, the perturbed Kohn-Sham equation is solved self-consistently to give the variations in the density and the effective potential to linear order of the external perturbation. From these results, the dynamical matrices are calculated, and the phonon frequencies are obtained through direct diagonalization of the dynamical matrix.

This textbook sets out to enable readers to understand fundamental aspects underlying quantum macroscopic phenomena in solids, primarily through the modern experimental techniques and results. The classic independent-electrons approach for describing the electronic structure in terms of energy bands helps explain the occurrence of metals, insulators and semiconductors. It is underlined that superconductivity and magnetism can only be understood by taking into account the interactions between electrons. The text recounts the experimental observations that have revealed the main properties of the superconductors and were essential to track its physical origin. While fundamental concepts are underlined, those which are required to describe the high technology applications, present or future, are emphasized as well. Problem sets involve experimental approaches and tools which support a practical understanding of the materials and their behaviour.

Lattice dynamics, the theory of phonons, is reviewed. (GHT).

Gives an overview of the basics in semiconductor physics and materials science. This work covers the future of the electronics industry, while retracing important developments in semiconductor areas such as lattice dynamics.