This course introduces the notion of universality, whereby a large zoo of seemingly disparate systems can be described by the same theory. It introduces a powerful and widely applicable concept known as renormalization group which explains where this universality comes from. It introduces some paradigmatic frameworks underpinning condensed matter physics, including band structure and the quasiparticle concept.
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This course introduces two pillars of modern condensed matter physics. The first two modules introduce the renormalization group, which is the central paradigm of modern statistical physics, and has wide applicability across physics and beyond. The third and fourth modules introduce band theory, which is central to solid state physics, and uses it to explain metals and insulators.
This course is part of the The Physics of Emergence: Introduction to Condensed Matter Specialization.
What you'll learn
- Explain the concept of universality.
- Describe the renormalization group and how it explains universality.
- Explain metals and insulators
Syllabus
Universal Theories and Renormalization Group
Module 1
This module introduces the notion of universality and introduces the renormalization group.
From Renormalization Group to Phases
Module 2
This module continues the presentation of the renormalization group and explains the emergence of universality.
Band Theory
Module 3
This module explores the basics of the Band Theory of Electrons.
Metals and Insulators
Module 4
This module provides detailed discussion of metals and insulators.
