Tailoring competing orders and electronic states by nano-corrals on a triangular lattice chiral superconductor

We present a systematic study of non-magnetic quantum corrals for tailoring electronic, magnetic, and superconducting properties on a triangular-lattice chiral superconductor in this paper. Our calculations reveal that quantum corrals dramatically influence the charge- and superconducting orders as well as electronic states in the chiral d-wave and f-wave states. By self-consistently solving the Bogoliubov-de Gennes equations, we show that both the orders exhibit strong oscillations near the corral sites while the charge peak induced by a magnetic impurity could be strongly suppressed by the non-magnetic quantum corral. Besides, patch-like structures in the superconducting order are observed due to the corral's dual role: it confines electronic states and simultaneously acts as a spatially patterned array of pair-breaking scatterers. Further introduction of a magnetic or non-magnetic impurity inside the nano-corral can lead to the emergence of additional modulated patterns of the superconducting order. Moreover, we calculate the local density of states (LDOS) which can be directly checked by experiments. Typically, LDOS 'wall' or 'comb' structures are observed to occur at the corral sites both in the chiral d + id and f-wave states. Furthermore, calculations for triangular corrals confirm that the reported phenomena, including the LDOS comb structures and confinement effects, are generic to closed nano-corrals on this lattice and not limited to hexagonal geometries. We demonstrate that non-magnetic corrals could be used for tailoring orders and electronic states and make a distinction between the chiral d + id and f-wave states. These results also propose a new route to engineer or control the electronic, magnetic, and superconducting properties of unconventional superconductors.