Interaction-enhanced topological Hall effects in strained twisted bilayer graphene

We analyze the effects of long-range Coulomb interaction on distribution Berry curvature among bands near charge neutrality twisted bilayer graphene (TBG) closely aligned with hexagonal boron nitride (hBN). Due to suppressed dispersion narrow bands, band structure is strongly renormalized by electron-electron interactions, and thus, associated topological properties are sensitive filling. Using a Hartree formalism, we calculate linear nonlinear Hall conductivities, find that for certain fillings, remote contribute substantially currents while contribution from central suppressed. In particular, these generically substantial regions energies where highly entangled each other, often featuring doping-induced inversions. Our results demonstrate transport in TBG/hBN modified which offer simple explanation recent experimental results.