84536 - INTERACTIONS AND CORRELATIONS IN CONDENSED MATTER

Course Unit Page

Academic Year 2020/2021

Learning outcomes

At the end of the course the student will acquire the basic notions about interacting electron systems, by discussing phenomena such as electron interactions in solids, Mott transition, superfluidity, electron-phonon interaction and elements of BCS superconductivity. He/she will also be acquainted with magnetic systems and their phase transitions.

Course contents

Material properties are ruled to a large extent by electronic interactions, e.g. breaking and forming of chemical bonds. To design new materials with desired physical, chemical and engineering characteristics one, thus, needs to derive a clear picture of the electronic behavior in a solid. This is a complex, quantum mechanical, many-body-problem. The course will provide understanding of the theories, methods, and algorithms that have been developed to describe electron-electron and particle-particle interactions and correlations, as well as a description of interesting phenomena originating from the complexity of the many-body interactions.

Readings/Bibliography

Ashcroft, Neil W. and Mermin, N. David Solid state physics

Kittel, Charles Quantum theory of solids

Dreizler, Reiner M. and Gross, Eberhard K. U. Density functional theory: an approach to the quantum many-body problem

Martin, Richard M. Electronic Structure

A.L. Fetter e J.D. Walecka, Quantum theory of many par- ticle systems

Ellad B. Tadmor, Ronald E. Miller Modeling Materials

Teaching methods

Front lectures and practical sessions

Assessment methods

Oral exam

Teaching tools

Blackboard, Slides, Computer applications

Office hours

See the website of Maria Clelia Righi