Solid state physics [SPHYB309]

Learning outcomes

Links between the microscopic (atomic) and macroscopic properties of a solid, in particular with regard to electrical and thermal conductivity and optical properties. Quantum description of a periodic solid

Objectives

Make the link between the macroscopic properties of solids (conductivity, optical properties, heat transport) and their microscopic structure (atomic description, types of bonds, etc.) using the laws of quantum mechanics.

Content

The course provides a general introduction to the physics of solids and materials. It shows the limits of a classical description of matter and makes the link between a microscopic (atomic) and quantum description and the macroscopic properties of solids. The consequences on electronic and thermal conductivity and optical properties are highlighted. Similarly, links to known properties (metal, insulator, etc.) and material-based technologies, such as semiconductors, are presented.

Table of contents

1.introduction and types of bonds

2. Electrons in a crystal: Drude (classic) model of a metal; Electronic Hamiltonian ; Sommerfeld (quantum) model of a metal; Electrons in a periodic potential; Semiconductors; Dielectric and optical properties of a solid.

3. Normal modes of vibration and Phonons: Hamiltonian of a crystal and force constant; Vibration of a one-dimensional chain; Dynamic matrix of a crystal and phonons; Thermal properties of solid.

4. The magnetism of solids

5. Nanomaterials