Welcome
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.
News
Inaugural Schwinger Prize awarded to Ilya Komissarov
Congratulations to Ilya who is the Inaugural Julian Schwinger Fellow! The fellowship will support Ilya's studies of quantum geometry in strongly correlated states of matter.
Aspen Summer program
June 16 - July 7 Quantum Matter Through the Lens of Moiré Materials
Organizers:
Philip Kim, Harvard University
Eslam Khalaf, Harvard University
Jed Pixley, Rutgers University
*Raquel Queiroz, Columbia University
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?