This module introduces the notion of emergent phenomena, and a central application of this notion: phases of matter. We define what constitutes a phase of matter, and explain that there are many phases beyond the familiar trio of solid, liquid, and gas.
Symmetries and Symmetry Breaking
This module introduces the notion of symmetries, which provide a powerful tool for thinking about phases of matter. It also introduces the notion of spontaneous symmetry breaking.
Energy, Entropy and Phase Structure
This module introduces the concepts of energy, entropy and explains how the competition between them can drive phase transitions.
Mean Field Theory
In this module, you will learn a powerful tool for analyzing phases that are classified by symmetries, known as mean field theory. You will learn to apply this tool.