Title: Weakly interacting one-dimensional topological insulators: a bosonisation approach
Abstract: I will review the classification of non-interacting topological insulators and discuss how this is expected to change when weak interactions are added. I will then go on to show how this can be seen in one-dimension using bosonization. By looking at concrete models, we see a richer variety of behaviour than one can determine using topological arguments alone.
Based on recent work: Matveeva, Gutman and Carr, PRB 109, 165436 (2024)