Preheat oven to 200°c and line a large, rimmed baking sheet with a piece of parchment paper or a Silpat® baking mat. Place the salmon fillets on the prepared baking sheet and brush with olive oil. Season with salt and black pepper, to taste.
Place the baking sheet in the oven to roast for 12-15 minutes, or just until the salmon flakes easily. Do not overcook.
Right before the salmon is ready to come out of the oven, add the egg yolks, lemon juice, salt, and cayenne pepper to a high-speed blender and melt the butter in a small saucepan or in the microwave until it is completely liquid and bubbling.
Blend the eggs yolks, lemon juice, and seasonings for several seconds, then slowly drizzle the warm, melted butter into the blender while it is still operating. (Once the butter has been added to the blender, the mixture should quickly develop a smooth, creamy consistency. It if is too thick, add a tablespoon of warm water and blend for another couple of seconds).
Taste the sauce and add additional lemon juice, salt, or cayenne pepper, as desired. Pour the sauce into a serving container and set it in lukewarm water until ready to use. (Avoid overly hot water as it will cause the eggs to solidify).
When the cook time is complete, remove the salmon from the oven and serve immediately with roasted asparagus, broccoli, or your choice of sides. Drizzle some warm hollandaise sauce on top, along with the fresh chives right before serving. Enjoy!
* Percent Daily Values are based on a 2,000 calorie diet. Your daily value may be higher or lower depending on your calorie needs.