Fig. 4: Dispersion and phase diagram of hybrid moiré exciton lattice.
From: Förster valley-orbit coupling and topological lattice of hybrid moiré excitons
a An exemplary dispersion of hybrid moiré exciton in t-MoTe2, color coded with the sublattice polarization \(\left\langle {\sigma }_{z}\right\rangle\). t = 0.1 meV, α = 1 meV, β = M = 0.1 meV. b Left: layer and valley configurations of three states at the mini-Brillouin zone corner KM enclosed by the dashed box in a. Red (blue) denote K (−K) valley excitons. Right: inversions between the three states, upon the increase of intervalley Förster coupling β. c Topological phase diagram as function of β and interlayer bias M. t = 0.1 meV and α = 1 meV. The two parabolas mark the points of inversion of Ψ3 with Ψ1 and Ψ2, respectively (c.f. Eq (4)). The two consecutive band dispersions in b are along the path marked by blue dots. The yellow region is a quantum valley Hall (QVH) phase. d Evolution of the topological edge states, along the path marked by red dots in (c). Color stands for the sublattice polarization \(\left\langle {\sigma }_{z}\right\rangle\). e Phase diagram as a function of twisting angle and interlayer bias M, for hybrid moiré excitons with a 25% intralayer component.
