Nonlinear Hall effect and potential Ising superconductivity in monolayer MXene heterostructure of T−Mo2C/H−Mo2C

The Berry curvature dipole (BCD) induced nonlinear Hall effect can appear in a material with time-reversal symmetry but breaking space-inversion symmetry. Meanwhile, a two-dimensional (2D) noncentrosymmetric superconducting material can host exotic Ising pairing that leads to an upper critical magnetic field far exceeding the Pauli paramagnetic limit. Based on first-principles electronic structure calculations and theoretical analysis, we demonstrate that the large BCDs and the Ising superconductivity can coexist in the monolayer MXene heterostructures of $T\text{\ensuremath{-}}{\mathrm{Mo}}_{2}\mathrm{C}/H\text{\ensuremath{-}}{\mathrm{Mo}}_{2}\mathrm{C}$. The large BCDs are generated by the multiple band anticrossings and the band inversions near the Fermi level. The breaking of in-plane space-inversion symmetry in these 2D superconducting heterostructures can induce an Ising-type spin-orbit coupling. Additionally, one of the superconducting heterostructures is identified as a ${Z}_{2}$ topological metal. Our work suggests that the $T\text{\ensuremath{-}}{\mathrm{Mo}}_{2}\mathrm{C}/H\text{\ensuremath{-}}{\mathrm{Mo}}_{2}\mathrm{C}$ heterostructures may serve as a promising platform to explore the nonlinear Hall effect and potential Ising superconductivity.