Condensed Matter & Materials: From Atoms to Topological Phases

This lecture establishes the quantum mechanical foundation for understanding how atoms bond, which is crucial for comprehending the structure of materials.

Building on molecular orbital theory, this lecture provides a detailed quantum mechanical model of hydrogen atoms, illustrating fundamental principles of electron behavior in central potentials.

This lecture extends the understanding of individual atoms to the collective behavior of electrons in periodic lattices, introducing the concept of energy band structures essential for solid-state physics.

Moving beyond basic band theory, this lecture explores computational frameworks for modeling complex quantum materials and emergent orders like superconductivity and topological protection.

This lecture delves into advanced frontiers of materials science, specifically photonics, demonstrating how fundamental principles are applied to manipulate light at unprecedented speeds.

Concluding the path, this lecture showcases how machine learning accelerates materials discovery, bridging quantum mechanics and classical simulations to address real-world challenges.