Welcome to the topological matter theory research group at Columbia University. We investigate quantum phenomena of condensed matter systems and are fascinated with symmetry and topology. We explore how topology crucially influences fundamental characteristics of solid-state materials.


October 12, 2023

Aspen Summer program

June 16 - July 7 Quantum Matter Through the Lens of Moiré Materials

Philip Kim, Harvard University
Eslam Khalaf, Harvard University
Jed Pixley, Rutgers University
*Raquel Queiroz, Columbia University

June 01, 2023

KITP Program on tunable 2D materials

Tunable Two-Dimensional Materials: Moiré and Beyond
Coordinators: Erez Berg, Eslam Khalaf, Jed Pixley, Raquel Queiroz, and Andrea Young; Scientific Advisors: Liang Fu and Jie Shan

Featured Publications

Research Projects

Classification of topological matter

Topological phases appear in many forms and shapes. We strive for a exhaustive understanding of the topology of condensed matter systems, studying novel phases, novel invariants and boundary signatures.

Disordered topological matter

Dirt and impurities are unavoidable in real physical systems. They break translation symmetry and invalidate Bloch's theorem. But can we still find order in disorder? Are there topological invariants that subside these harsh conditions?