Emergent Phenomena from Interaction Effects in Topological Matter

Interaction effects in many particle systems reveal remarkable emergent phenomena in condensed matter systems, which can never be understood by using each particle’s properties. The correlation between electrons from their Coulomb interaction may induce various spontaneous symmetry-breaking phenomena. Sometimes, emergent particles such as anyons appear, and even a quasi-particle description, one of the back-bone paradigms of condensed matter, becomes inapplicable. In recently discovered topological matter, the topological nature, as well as the “classical” symmetry nature, is obviously crucial, so various striking interaction effects are expected. Here, we present an overview of the recent progress on and the future direction of interaction effects in topological matter.