  Topological phases of matter are among the most intriguing research
directions in Condensed Matter Physics. It is known that superconductivity
induced on a topological insulator's surface can lead to exotic Majorana modes,
the main ingredient of many proposed quantum computation schemes. In this
context, the iron-based high critical temperature superconductors are a
promising platform to host such an exotic phenomenon in real condensed-matter
compounds. The Coulomb interaction is commonly believed to be vital for the
magnetic and superconducting properties of these systems. This work bridges
these two perspectives and shows that the Coulomb interaction can also drive a
canonical superconductor with orbital degrees of freedom into the topological
state. Namely, we show that above a critical value of the Hubbard interaction
the system simultaneously develops spiral spin order, a highly unusual triplet
amplitude in superconductivity, and, remarkably, Majorana fermions at the edges
of the system.

Strongly Correlated Electrons