Topological Exciton Density Wave in Monolayer WSe2

Based on the first-principles calculations coupled with the Bethe-Salpeter equation, the topological exciton density wave is investigated in two-dimensional monolayer ${\mathrm{WSe}}_{2}$. We find that the topological excitonic insulator phase can exist in monolayer ${\mathrm{WSe}}_{2}$, and it is robust against in-plane strain. In this system, the energy minimum of exciton bands is shifted to a finite in-plane momentum, forming a Fulde-Ferrell-Larkin-Ovchinnikov-like state. Using the Gross-Pitaevskii equations, stripe-patterned exciton density waves with a nonzero velocity emerge in monolayer ${\mathrm{WSe}}_{2}$. Our findings pave a new way for exploring the interplay between electron correlation and nontrivial topology.