An approach to achieving p -wave triplet superconductivity in Hubbard models

Spin–triplet superconductivity is highly sought-after in condensed matter physics due to its potential applications in topological quantum computing. The related pairing mechanism involving interaction remains an important area of research. In this study, we propose an approach to achieve p -wave triplet superconductivity in Hubbard models by simply changing the sign of hopping amplitudes for the spin-down electrons and apply it to three two-dimensional lattice prototypes, namely honeycomb, square, and triangular. At half-filling, the parent Hamiltonian has long-range magnetic order, which is ferromagnetic in all three directions for the frustrated triangular lattice and ferromagnetic or antiferromagnetic in the xy plane or z direction, respectively, for the bipartite honeycomb and square lattices. Magnetic transitions occur at critical interactions on honeycomb and triangular lattices, which are estimated through finite-size scalings. Upon doping, we observe that triplet p -wave pairing dominates and emerges due to strong ferromagnetic spin fluctuations induced by doping.