(Created 2010-07-25.)

SOLID STATE THEORY | FFF051 |

**Aim**

The course shall provide a better understanding of central concepts in solid state physics and their relation to the basic theories of quantum mechanics and electrodynamics. The students shall learn how these concepts can be applied to model physical effects quantitatively. Particular emphasis is given towards topics relevant to ongoing research in solid state physics and nanoscience in Lund.

*Knowledge and understanding*

For a passing grade the student must

- understand the concept of electronic bandstructure in crystals and be able to relate it to basic quantum mechanics,
- be able to estimate how scattering processes affect the transport properties in semiconductors and metals,
- be able to explain the microscopic origin of para-, dia-, and ferromagnetism within simplified models,
- understand the concept of a mean field approximation,
- have a comprehension how the dielectric function in a solid is affected by phonons, optical transitions and many-particle interactions,
- have an overview of superconductivity and have some knowledge of the microscopic BCS ground state

*Skills and abilities*

For a passing grade the student must

- be able to apply envelope function to the modeling of semiconductor heterostructures,
- be able to handle simple problems in many-particle quantum theory using the occupation number representation,
- be able to execute elementary quantitative calculations for optical properties of solids, such as the gain spectrum of a semiconductor laser,

*Judgement and approach*

For a passing grade the student must

- be able to value the hierarchy of concepts in solid state physics,
- be able to see the utility of basic theoretical physics for practical problems.

**Contents**

Band structure of crystals and semiconductor heterostructures, Electron transport and scattering processes, Magnetism, Density matrix formalism and optical Bloch equations for semiconductor lasers, Dielectric properties, Coulomb interaction and excitons, Superconductivity

**Literature**

H. Ibach and H. Lüth, Solid State Physics (Springer, 2003), or C. Kittel, Introduction to Solid State Phyics (John Wiley & Sons, 1996), or D. W. Snoke, Solid State Physics (Addison-Wesley, 2008) as well as additional lecture notes covering more theoretical issues.