Learning

Topological Phases of Matter: From Band Structure to Topological Insulators and Semimetals

Quantum Mechanics I: Fundamentals → Experimental Signatures and Materials

This advanced undergraduate learning path systematically develops the conceptual and mathematical tools needed to understand topological phases of matter, focusing on topological insulators, Chern insulators, and Weyl semimetals. Beginning with quantum mechanics and solid-state physics, the path progresses through band theory, topology in physics, and the modern classification of topological phases, culminating in concrete models and experimental signatures.