Theory of fractionalized topological phases of matter (A04)

• Subject Area: Theoretical Condensed Matter Physics
• Term: since 2016
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 277101999

Project A04 studies quantum states of electrons whose entanglement over long distances permits excitations with microscopically forbidden fractional quantum numbers. Our ultimate goal is to materialize these exotic states in natural or synthetic frustrated magnets and quantum-Hall platforms. We will combine field theory, functional renormalization group, and tensor-network methods to determine conditions favoring quantum spin liquids without requiring unphysical symmetries or interactions. Additionally, our experimental-theoretical collaboration on superconductor-fractional quantum Hall hybrid systems will provide vital insights and tools towards realizing non-Abelian quasiparticles beyond Majorana modes.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 183: Entangled States of Matter
• International Connection: Israel
• Applicant Institution: Universität zu Köln
• Project Heads: Professor Dr. Erez Berg, until 6/2020; Dr. Maria Hermanns, until 8/2017; Dr. David Mross; Professor Yuval Oreg, until 6/2020; Professor Dr. Johannes Reuther; Professor Dr. Matteo Rizzi; Dr. Yuval Ronen; Professor Dr. Adiel Stern, until 6/2024; Professor Dr. Simon Trebst, until 6/2024