Topological superconductivity from interactions - clues on how to make them and how to characterize them
The inclusion of topology in the discussion of condensed matter systems marks a paradigm shift in our understanding of materials. More than just a new classification of states, topology also leads to measurable effects, most notably topologically protected surface states. In that respect topological superconductors are extremely interesting - depending on boundary conditions they may host Majorana fermions, illusive particles which have been sought after since predicted in 1937. Experimentally, evidence of Majorana fermions have been found in 1d wires but not yet in a two dimensional setup. Proposals to realize 2d topological superconductivity usually include spin-orbit coupled systems in proximity to a conventional superconductor. In this talk I will discuss the possibility of interaction driven topological superconductivity in a 2d lattice model. In this model, magnetic field plays and important role in driving the topological phase. This effect is seen in both weak and strong coupling treatments.