Fig. 2: Dipole Hall effect at ν = − 1 in tMoTe2.

a Charge (black circles) and dipole (orange triangles) Hall conductivity as a function of E⊥. Twist angle θ = 3. 9∘. b–d Berry curvatures (upper panels) and quasiparticle band dispersions (lower panels) along k path γ1 to γ2 (c.f. inset for moiré Brillouin zone). The band dispersion is color-coded with the layer polarization: PL = 1 (−1) for Bloch states fully polarized on layer T(B). e Dipole Hall conductivity as a function of twist angle and E⊥, where the abrupt sign changes mark the topological phase boundaries.