Topological Quantum Condensed Matter Physics

Abstract

Topological quantum materials, those that are characterized by their topological properties, have been a central theme in quantum condensed matter physics. Canonical examples include quantum Hall systems, topological insulators and superconductors, and the Haldane phase in quantum spin systems. Recently, the concept of topology has been playing a pivotal role in studying quantum many-body systems. In this article, we review some of the key developments and concepts in topological condensed matter systems.