Light-emitting diodes including perpendicular-extending nano-rods

A light-emitting diode, comprising:

• a reflection electrode on a supporting substrate, wherein the supporting substrate has electrical conductivity;
• a plurality of nano-rods on the reflection electrode, the reflection electrode being interposed between the supporting substrate and the plurality of nano-rods, wherein the plurality of nano-rods extend perpendicularly from an upper surface of the reflection electrode, and each of the nano-rods includes a first region doped with a first type dopant, a second region doped with a second type dopant that is an opposite type to the first type dopant, and an active region between the first region and the second region;
• a transparent insulating layer between the plurality of nano-rods;
• a transparent electrode on the plurality of nano-rods and the transparent insulating layer;
• and
• an epitaxy layer between the transparent electrode and the plurality of nano-rods, wherein the epitaxy layer and the plurality of nano-rods are formed of the same material.