Recently, several experiments have brought out the competition between charge order and superconductivity in the cuprates. Motivated by these experiments, we study the attractive Hubbard model which possesses an SO(3) symmetric point with CDW and superconducting orders being degenerate. In the vicinity of this point, we show that CDW order emerges in vortex cores where superconductivity is locally suppressed by a magnetic field. At large fields, vortex cores overlap and allow CDW correlations to percolate through the system. This leads to a coexistence phase with macroscopic CDW and superconducting orders. We construct a phase diagram and point out similarities with the cuprates.
Reference: Madhuparna Karmakar, Gautam I. Menon, R. Ganesh, arXiv:1705.01571