Anomalous Superconducting Vortex-Lattices in Twisted MoTe₂

Motivated by recent signatures of time reversal broken superconductivity in twisted MoTe₂ at small twist angles (arXiv:2504.06972) --- we investigate superconducting (SC) states within the adiabatic model (Morales-Durán et al. PRL 132, 096602 (2024)). This single-band Hamiltonian encodes nontrivial band topology due to the underlying Landau-level structure in the presence of an effective pseudo-electromagnetic periodic potential, providing a scenario for hosting an anomalous Abrikosov vortex-lattice phase -- a type-II Abrikosov vortex-lattice phase without any external magnetic field. Using BCS mean-field theory, we show that the SC vortex-lattice state is favored near the magic angle for a large range of hole filling fractions. We also investigate the possibility of unconventional (non-triangular) vortex lattices and gap closing and opening transitions in this phase that can lead to topological phase transitions of the superconductor.